Results for "Debasish Banerjee"

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Conformal dimensions in the large charge sectors at the O(4) Wilson-Fisher fixed pointFeb 25 2019We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations $(j_L, j_R)$. Using effective field theory we derive a formula for the conformal dimensions $D(j_L, j_R)$ ... More
Real-Time Evolution of Strongly Coupled Fermions driven by DissipationDec 01 2015We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set ... More
Finite size effects in the presence of a chemical potential: A study in the classical non-linear O(2) sigma-modelJan 20 2010Jul 12 2010In the presence of a chemical potential, the physics of level crossings leads to singularities at zero temperature, even when the spatial volume is finite. These singularities are smoothed out at a finite temperature but leave behind non-trivial finite ... More
Dark Matter -- Possible Candidates and Direct DetectionMar 29 2007The cosmological observations coupled with theoretical calculations suggest the existence of enormous amount of unseen and unknown matter or dark matter in the universe. The evidence of their existence, the possible candidates and their possible direct ... More
Astrophysical Constraints on the scale of Left-Right Symmetry in Inverse Seesaw ModelsApr 30 2012Oct 01 2012We revisit the recently studied supersymmetric gauged inverse seesaw model (An et al., 2012) to incorporate astrophysical constraints on lightest supersymmetric particle (LSP) lifetime such that LSP constitutes the dark matter of the Universe. The authors ... More
Light Sterile Neutrino and Dark Matter in Left-Right Symmetric Models Without Higgs BidoubletJul 01 2016Oct 18 2016We present a class of left-right symmetric models where Dirac as well as Majorana mass terms of neutrinos can arise at one-loop level in a scotogenic fashion: with dark matter particles going inside the loop. We show the possibility of naturally light ... More
Detection Rates for Kaluza-Klein Dark MatterSep 24 2002We consider the lightest Kaluza-Klein particle at N=1 mode (LKP) of universal extra dimension to be the candidate for Dark Matter and predict the detection rates for such particles for Germenium and NaI detectors. We have also calculated the nature of ... More
Probing Pseudo-Dirac Neutrino through Detection of Neutrino Induced Muons from GRB NeutrinosJul 31 2006The possibility to verify the pseudo-Dirac nature of neutrinos is investigated here via the detection of ultra high energy neutrinos from distant cosmological objects like GRBs. The very long baseline and the energy range from $\sim$ TeV to $\sim$ EeV ... More
Relating Lepton Mixing Angles with Lepton Mass HierarchyJul 03 2015Nov 28 2015We revisit the possibility of relating lepton mixing angles with lepton mass hierarchies in a model-independent way. Guided by the existence of such relations in the quark sector, we first consider all the mixing angles, both in charged lepton and neutrino ... More
Thermodynamics of the ideal overlap quarks on the latticeMar 27 2008Jun 20 2008The thermodynamics of massless ideal gas of overlap quarks has been investigated both analytically and numerically for both zero and nonzero baryon chemical potential. Any \mu^2-divergence is shown analytically to be absent for a class of actions with ... More
Intensification of Gravitational Wave Field Near Compact StarFeb 19 2019The gravitational waves (GWs) has been a topic of interest for its versatile capabilities of probing several aspects of cosmology and early Universe. Gravitational lensing enhances further the extent of this sort of waves and upgrade our understanding ... More
The scalar does not decay at finite temperaturesNov 01 2010We investigate medium effects on mesonic screening lengths for QCD with 2-flavours of dynamical staggered quarks on lattices with cutoff a=1/6T. Denoting the cross-over temperature by $T_c$, we vary the temperature T from 0.89$T_c$ to 1.92$T_c$, spanning ... More
Two introductory lectures on high energy QCD and heavy ion collisionsOct 20 2008These introductory lectures present a broad overview of the physics of high parton densities in QCD and its application to our understanding of the early time dynamics in heavy ion collisions.
Thermodynamics and Finite size scaling in Scalar Field TheoryDec 05 2008In this work we consider the 1-component real scalar $\phi^4$ theory in 4 space-time dimensions on the lattice and investigate the finite size scaling of thermodynamic quantities to study whether the thermodynamic limit is attained. The results are obtained ... More
Exact Chiral Fermions and Finite Density on LatticeSep 26 2008Any mu^2-divergence is shown analytically to be absent for a class of actions for Overlap and Domain Wall Fermions with nonzero chemical potential. All such actions are, however, shown to violate the chiral invariance. While the parameter M of these actions ... More
Quasi-static probes of the QCD plasmaFeb 22 2011Screening correlators and masses were studied at finite temperature in QCD with two flavours of dynamical staggered quarks on a lattice. The spectrum of screening masses show a hierarchical approach to chiral symmetry restoration. Control of explicit ... More
Dynamical quantum phase transitions in $U(1)$ quantum link modelsAug 23 2018Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge theories, but ... More
Absence of jamming in ant trails: Feedback control of self propulsion and noiseOct 16 2014We present a model of ant traffic considering individual ants as self-propelled particles undergoing single file motion on a one-dimensional trail. Recent experiments on unidirectional ant traffic in well-formed natural trails showed that the collective ... More
Heat conduction in a confined solid strip: Response to external strainJan 14 2006Jul 25 2006We study heat conduction in a system of hard disks confined to a narrow two dimensional channel. The system is initially in a high density solid-like phase. We study, through nonequilibrium molecular dynamics simulations, the dependence of the heat current ... More
Investigating Possible Neutrino Decay in Long Baseline Experiment Using ICAL as Far end DetectorDec 05 2007Dec 06 2007We investigate the effects of possible decay of neutrinos from a neutrino factory in a long baseline experiment. We consider the neutrinos from a factory at CERN and the detector to be the 50 kTon iron calorimeter (ICAL) detector proposed for India-based ... More
Stochastic pump of interacting particlesDec 28 2010We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase relations generate ... More
Connecting Leptonic CP Violation, Lightest Neutrino Mass and Baryon Asymmetry Through Type II SeesawOct 30 2014Mar 11 2015We study the possibility of connecting leptonic Dirac CP phase $\delta$, lightest neutrino mass and baryon asymmetry of the Universe within the framework of a model where both type I and type II seesaw mechanisms contribute to neutrino mass. Type I seesaw ... More
How many interchanges does the selection sort make for iid geometric(p) input?Feb 27 2012The note derives an expression for the number of interchanges made by selection sort when the sorting elements are iid variates from geometric distribution. Empirical results reveal we can work with a simpler model compared to what is suggestive in theory. ... More
Heavy Quark Momentum Diffusion Coefficient from Lattice QCDSep 26 2011Dec 13 2011The momentum diffusion coefficient for heavy quarks is studied in a deconfined gluon plasma in the static approximation by investigating a correlation function of the color electric field using Monte Carlo techniques. The diffusion coefficient is extracted ... More
Mechanical Failure of a Small and Confined SolidAug 22 2005Starting from a commensurate triangular thin solid strip, confined within two hard structureless walls, a stretch along its length introduces a rectangular distortion. Beyond a critical strain the solid fails through nucleation of "smectic"-like bands. ... More
Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipationMay 01 2015Sep 17 2015Using quantum Monte Carlo, we study the non-equilibrium transport of magnetization in large open strongly correlated quantum spin $\frac{1}{2}$ systems driven by purely dissipative processes that conserve the uniform or staggered magnetization. We prepare ... More
Mass and Life Time of Heavy Dark Matter Decaying into IceCube PeV NeutrinosMay 21 2019Considering that the ultrahigh energy (UHE) upgoing muon neutrino events around the PeV energy region observed by the IceCube are due to the decay of super heavy dark matter to neutrinos, we constrain the mass of the decaying dark matter and its decay ... More
Half lives and Rates for Electron Capture on Drip Line Nuclei and for Beta Decay with 65 < A <100May 15 2002The half lives are calculated for the process of $\beta^\pm$ decay and electron capture for nuclei in mass range $\sim$ 65 - 100 relevant for the core of a massive star at late burning stage of steller evolution that leads to supernova explosion. The ... More
Anomalous structural and mechanical properties of solids confined in quasi one dimensional stripsMay 22 2007Apr 01 2008We show using computer simulations and mean field theory that a system of particles in two dimensions, when confined laterally by a pair of parallel hard walls within a quasi one dimensional channel, possesses several anomalous structural and mechanical ... More
Swampland Criteria in Slotheon Field Dark EnergyApr 02 2019We explore in this work whether Slotheon model of Dark Energy obeys the Swampland criteria of string theory. Since de Sitter vacuum is very difficult to construct in string theory the cosmological constant as an explanation of Dark Energy is almost ruled ... More
Sequential Learning of Movement Prediction in Dynamic Environments using LSTM AutoencoderOct 12 2018Predicting movement of objects while the action of learning agent interacts with the dynamics of the scene still remains a key challenge in robotics. We propose a multi-layer Long Short Term Memory (LSTM) autoendocer network that predicts future frames ... More
An estimate of heavy quark momentum diffusion coefficient in gluon plasmaNov 11 2012We calculate the momentum diffusion coefficient for heavy quarks in SU(3) gluon plasma at temperatures 1-2 times the deconfinement temperature. The momentum diffusion coefficient is extracted from a Monte Carlo calculation of the correlation function ... More
HQET form factors for $B_s\to K\ellν$ decays beyond leading orderNov 03 2017Nov 25 2017We compute semi-leptonic $B_s$ decay form factors using Heavy Quark Effective Theory on the lattice. To obtain good control of the $1/m_b$ expansion, one has to take into account not only the leading static order but also the terms arising at $O(1/m_b)$: ... More
Real-Time Evolution of Strongly Coupled Fermions driven by DissipationDec 01 2015Nov 03 2016We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set ... More
New Variables For Neutrino Oscillation Diagnostics at Superkamiokande and the Sudbury Neutrino ObservatoryJan 25 1999The SuperKamiokande collaboration has presented results on the observation of solar neutrinos. The Sudbury Neutrino Observatory (SNO) is also expected to go on-line in the near future. We propose several new variables, insensitive to the absolute flux ... More
A numerical renormalization group study of laser induced freezingMar 12 2004Oct 01 2004We study the phenomenon of laser induced freezing, within a numerical renormalization scheme which allows explicit comparison with a recent defect mediated melting theory. Precise values for the `bare' dislocation fugacities and elastic moduli of the ... More
Constrained deformation of a confined solid: a strain induced crystal-smectic transitionJan 08 2004We report results of computer simulations of two-dimensional hard disks confined within a quasi one-dimensional ``hard-wall'' channel, a few atomic radii wide. Starting from a commensurate triangular solid a rescaling of the system size parallel to the ... More
Common Origin of Neutrino Mass, Dark Matter and Dirac LeptogenesisAug 12 2016We study the possibility of generating tiny Dirac neutrino masses at one loop level through the \textit{scotogenic} mechanism such that one of the particles going inside the loop can be a stable cold dark matter (DM) candidate. Majorana mass terms of ... More
Effects of Beyond Standard Model Physics on GRB NeutrinosJan 17 2013The nondetection of neutrinos coming from Gamma Ray Bursts (GRBs) by the IceCube experiment has raised serious questions on our understanding of GRB's and the mechanism of neutrino flux production in them. Motivated by this and the need for a precise ... More
Spontaneous parity breaking and supersymmetry breaking in metastable vacua with consistent cosmologyJul 27 2011Jan 06 2012We study the compatibility of spontaneous breaking of parity and successful cosmology in a left-right symmetric model where supersymmetry breaking is achieved in metastable vacua. We show that domain walls formed due to this breaking can be removed due ... More
A complete characterization of optimal dictionaries for least squares representationOct 18 2017Dictionaries are collections of vectors used for representations of elements in Euclidean spaces. While recent research on optimal dictionaries is focussed on providing sparse (i.e., $\ell_0$-optimal,) representations, here we consider the problem of ... More
Gamma Ray and Neutrino Flux from Annihilation of Neutralino Dark Matter at Galactic Halo Region in mAMSB ModelMay 09 2012Jun 27 2013We consider the lightest supersymmetric particle (LSP), neutralino in minimal anomaly mediated supersymmetry breaking model (mAMSB) to be a possible candidate for weakly interacting massive particles (WIMP) or cold dark matter and investigate its direct ... More
Supersymmetric Left-Right models with Gauge Coupling Unification and Fermion Mass UniversalityOct 29 2010May 27 2011We explore the unification of gauge couplings and fermion masses in two different types of supersymmetric left-right models, one with Higgs triplets and the other with both Higgs triplets as well as bitriplets. The minimal versions of these models do ... More
Real-time simulation of dissipation-driven quantum systemsOct 29 2015Nov 03 2015We set up a real-time path integral to study the evolution of quantum systems driven in real-time completely by the coupling of the system to the environment. For specifically chosen interactions, this can be interpreted as measurements being performed ... More
Speeding up of Binary Merger Due to "Apparent" Gravitational Wave EmissionsOct 10 2018Gravitational waves from binary black hole pairs have emerged as an important observational tool in current times. The energy of the BH - BH binary pair is radiated in the form of gravitational waves and to compensate for that energy, kinetic energy of ... More
Extraction of bare Form Factors for $\mathrm B_\mathrm s \to \mathrm K \ell ν$ Decays in non-perturbative HQETMar 14 2019We discuss the extraction of the ground state $\langle \mathrm{K} ({\bf p})|V_\mu(0)|\mathrm{B} ({\bf 0})\rangle$ matrix elements from Euclidean lattice correlation functions. The emphasis is on the elimination of excited state contributions. Two typical ... More
Generalised Hamiltonian embedding of the Proca modelNov 29 1995We convert the second class Proca model into a first class theory by using the generalised prescription of Batalin, Fradkin and Tyutin. We then show how a basic set of gauge invariant fields in the embedded model can be identified with the fundamental ... More
Quantifying phases in homogenous twisted birefringent mediumFeb 11 2013Mar 03 2013The internal birefringence of an optical medium develops the dynamical phase through natural rotation of incident polarized light. The uniform twist of the medium induces an external birefringence in the system.This can be visualized through the geometric ... More
Neutron response of the LAMBDA spectrometer and neutron interaction length in BaF2Jun 17 2013We report on the neutron response of the LAMBDA spectrometer developed earlier for high-energy gamma-ray measurement. The energy dependent neutron detection efficiency of the spectrometer has been measured using the time-of-flight (TOF) technique and ... More
An Improved Single-Plaquette Gauge ActionDec 15 2015Jan 19 2016We describe and test a nonperturbatively improved single-plaquette lattice action for 4-d SU(2) and SU(3) pure gauge theory, which suppresses large fluctuations of the plaquette, without requiring the naive continuum limit for smooth fields. We tune the ... More
Continuum limit of the leading order HQET form factor in $B_s \to K\ellν$ decaysJan 17 2016Jun 02 2016We discuss the computation of form factors for semi-leptonic decays of $\rm B$-, $\rm B_s$- mesons in lattice QCD. Considering in particular the example of the static $\rm B_s$ form factors we demonstrate that after non-perturbative renormalization the ... More
A model of fasciculation and sorting in mixed populations of axonsMar 28 2010Jun 07 2011We extend a recently proposed model (Chaudhuri et al., EPL 87, 20003 (2009)) aiming to describe the formation of fascicles of axons during neural development. The growing axons are represented as paths of interacting directed random walkers in two spatial ... More
Pumping single-file colloids: Absence of current reversalSep 24 2014Jun 24 2015We consider the single-file motion of colloidal particles interacting via short-ranged repulsion and placed in a traveling wave potential, that varies periodically in time and space. Under suitable driving conditions, a directed time-averaged flow of ... More
Status of the neutrino decay solution to the solar neutrino problemApr 20 2000May 30 2000We re-examine the neutrino decay solution to the solar neutrino problem in the light of the SuperKamiokande (SK) data. For the decay solution the SK spectrum data by its own can provide a fit comparable to the fit obtained from the MSW solution. However ... More
Solar Neutrino Rates, Spectrum, and its Moments : an MSW Analysis in the Light of Super-Kamiokande ResultsMar 16 2000Apr 09 2001We re-examine MSW solutions of the solar neutrino problem in a two flavor scenario taking (a) the results on total rates and the electron energy spectrum from the 1117-day SuperKamiokande (SK) data and (b) those on total rates from the Chlorine and Gallium ... More
Iterated Gain-based Stochastic Filters for Dynamic System Identification: Annealing-type Iterations and the Filter BankApr 12 2013A novel form of nonlinear stochastic filtering employing an annealing-type iterative update scheme, aided by the introduction of an artificial diffusion parameter and based on the Gaussian sum approximations of the prior and posterior densities, is presented. ... More
Real-time dynamics of open quantum spin systems driven by dissipative processesFeb 10 2015Jul 10 2015We study the real-time evolution of large open quantum spin systems in two spatial dimensions, whose dynamics is entirely driven by a dissipative coupling to the environment. We consider different dissipative processes and investigate the real-time evolution ... More
The Stochastic Reach-Avoid Problem and Set Characterization for DiffusionsFeb 20 2012Jan 22 2016In this article we approach a class of stochastic reachability problems with state constraints from an optimal control perspective. Preceding approaches to solving these reachability problems are either confined to the deterministic setting or address ... More
Bimodal response in periodically driven diffusive systemsDec 07 2010We study the response of one dimensional diffusive systems, consisting of particles interacting via symmetric or asymmetric exclusion, to time-periodic driving from two reservoirs coupled to the ends. The dynamical response of the system can be characterized ... More
Motion Planning for Continuous Time Stochastic Processes: A Dynamic Programming ApproachNov 06 2012Jan 22 2016We study stochastic motion planning problems which involve a controlled process, with possibly discontinuous sample paths, visiting certain subsets of the state-space while avoiding others in a sequential fashion. For this purpose, we first introduce ... More
Quintom scalar field : Varying dark energy equation of state obtained from recent SNe Ia, BAO and OHD dataMar 08 2011Jan 10 2013From the analysis of Supernova Ia data alongwith Observational Hubble Data (OHD) and Baryon Acoustic Oscillation (BAO) data, we attempt to find out the nature of a scalar potential that may be responsible for the Dark Energy of the universe. We demonstrate ... More
Reconstructing the equation of state and density parameter for dark energy from combined analysis of recent SNe Ia, OHD and BAO dataFeb 23 2011Mar 12 2011We adopt a model independent method to reconstruct the dark energy equation of state by analyzing 5 sets of SNe Ia data along with Baryon Acoustic Oscillation (BAO) and Observational Hubble Data (OHD). The SNe Ia data sets include the most recent UNION2 ... More
Blow ups and base changes of symmetric powers and Chow groupsSep 13 2016Let $\Sym^m X$ denote the $m$-th symmetric power of a smooth projective curve $X$. Let $\wt{\Sym^m X}$ be the blow up of $\Sym^m X$ along some non-singular subvariety. In this note we are going to discuss when the pushforward homomorphism induced by the ... More
Aspects of noncommutative gauge theories and their commutative equivalentsSep 02 2004We discuss some exact Seiberg--Witten-type maps for noncommutative electrodynamics. Their implications for anomalies in different (noncommutative and commutative) descriptions are also analysed.
Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplingsJan 23 2003We propose an exact expression for the unintegrated form of the star gauge invariant axial anomaly in an arbitrary even dimensional gauge theory. The proposal is based on the inverse Seiberg-Witten map and identities related to it, obtained earlier by ... More
Hopf-Galois extensions of non-commutative spacesAug 03 2016We give a comonadic characterization of Hopf-Galois extensions of symmetric monoidal presentable stable $\infty$-categories and prove a Tannakian recognition theorem for categories of representations of derived affine group schemes satisfying certain ... More
Galois Descent for Real SpectraMay 19 2013Sep 12 2015We prove analogs of faithfully flat descent and Galois descent for categories of modules over $E_{\infty}$-ring spectra using the $\infty$-categorical Barr-Beck theorem proved by Lurie. In particular, faithful $G$-Galois extensions are shown to be of ... More
Chiral Anomalies In Field TheoriesJul 20 1999Aug 04 1999The role of the contribution from the fermion mass term in the axial vector Ward identity in generating the U(1) axial anomaly, both local and global, is elucidated. Gauge invariance requires the fermion to decouple from the gauge field if it is very ... More
Subleading Correction to Statistical Entropy for BMPV Black HoleJul 08 2008Sep 08 2008We study higher derivative corrections to the statistical entropy function and the statistical entropy for five dimensional BMPV black holes by doing the asymptotic expansion of the partition function. This enables us to evaluate entropy for a large range ... More
An evaluation of plastic flow stress models for the simulation of high-temperature and high-strain-rate deformation of metalsDec 19 2005Phenomenological plastic flow stress models are used extensively in the simulation of large deformations of metals at high strain-rates and high temperatures. Several such models exist and it is difficult to determine the applicability of any single model ... More
Validation of the material point method and plasticity with Taylor impact testsJan 12 2012Taylor impacts tests were originally devised to determine the dynamic yield strength of materials at moderate strain rates. More recently, such tests have been used extensively to validate numerical codes for the simulation of plastic deformation. In ... More
The study of birefringent homogenous medium with geometric phaseMar 16 2011The property of linear and circular birefringence at each point of the optical medium has been evaluated here from differential matrix $N$ using the Jones calculus.This matrix lies on the OAM sphere for $l=1$ orbital angular momentum.The geometric phase ... More
Qubit rotation in QHEMar 26 2008In Quantum Hall effect the ground state wave function at $\nu=1$ is the building block of all other states at different filling factors. It is developed by the entanglement of two spinors forming a singlet state. The inherent frustration visualized by ... More
On Noetherian schemes over $(\mathcal C,\otimes,1)$ and the category of quasi-coherent sheavesMay 06 2015Jan 05 2016Let $(\mathcal C,\otimes,1)$ be an abelian symmetric monoidal category satisfying certain conditions and let $X$ be a scheme over $(\mathcal C,\otimes,1)$ in the sense of To\"en and Vaqui\'{e}. In this paper we show that when $X$ is quasi-compact and ... More
Stability of charged thin-shell wormholes in (2 + 1) dimensionsOct 20 2013In this paper we construct charged thin-shell wormholes in (2+1)-dimensions applying the cut-and -paste technique implemented by Visser, from a BTZ black hole which was discovered by Banados, Teitelboim and Zanelli, and the surface stress are determined ... More
Quasimodular Hecke algebras and Hopf actionsNov 12 2014Sep 03 2015Let $\Gamma=\Gamma(N)$ be a principal congruence subgroup of $SL_2(\mathbb Z)$. In this paper, we extend the theory of modular Hecke algebras due to Connes and Moscovici to define the algebra $\mathcal Q(\Gamma)$ of quasimodular Hecke operators of level ... More
The $q$-analog of higher order Hochschild homology and the Lie derivativeNov 03 2014Let $A$ be a commutative algebra over $\mathbb C$. Given a pointed simplicial finite set $Y$ and $q\in \mathbb C$ a primitive $N$-th root of unity, we define the $q$-Hochschild homology groups of $A$ of order $Y$. When $D$ is a derivation on $A$, we construct ... More
Comment on relationship between atomic squeezed and entangled statesOct 05 2001The ability of parameter recently proposed by Sorensen et al. (Nature, 409, 63 (2001)) to characterize entanglement or inseparability is investigated for a system of two two-level atoms interacting with a single mode of radiation field. For comparison ... More
Holographic Brownian motion at finite densityDec 18 2015Nov 22 2016Brownian motion of a heavy charged particle at zero and small (but finite) temperature is studied in presence of finite density. We are primarily interested in the dynamics at (near) zero temperature which is holographically described by motion of a fundamental ... More
On some spectral spaces associated to tensor triangulated categoriesOct 26 2016We consider a closure operator $c$ of finite type on the space $SMod(\mathcal M)$ of thick $\mathcal K$-submodules of a triangulated category $\mathcal M$ that is a module over a tensor triangulated category $(\mathcal K,\otimes,1)$. Our purpose is to ... More
Boundaries of the Arnol'd tongues and the standard familyFeb 19 2014For a family $(F_{t,a} : x \mapsto x + t + a\phi(x))$ of increasing homeomorphisms of $\mathbb R$ with $\phi$ being Lipschitz continuous of period 1, there is a parameter space consisting of the values $(t,a)$ such that the map $F_{t,a}$ is strictly increasing ... More
I-convergence classes of sequences and nets in topological spacesAug 11 2016In this paper we have used the idea of I-convergence of sequences and nets to study certain conditions of convergence in a topological space. It has been shown separately that a class of sequences and a class of nets in a non-empty set X which are respectively ... More
A Possible Explanation of Low Energy $γ$-ray Excess from Galactic Centre and Fermi Bubble by a Dark Matter Model with Two Real ScalarsDec 29 2013Mar 07 2014We promote the idea of multi-component Dark Matter (DM) to explain results from both direct and indirect detection experiments. In these models as contribution of each DM candidate to relic abundance is summed up to meet WMAP/Planck measurements of $\Omega_{\rm ... More
Interpreting the bounds on Solar Dark Matter induced muons at Super-Kamiokande in the light of CDMS resultsFeb 03 2010Mar 02 2010We consider the recent limits on dark matter - nucleon elastic scattering cross section from the analysis of CDMS II collaboration using the two signal events observed in CDMS experiment. With these limits we try to interpret the Super-Kamiokande (SK) ... More
Common Origin of Non-zero $θ_{13}$ and Dark Matter in an $S_4$ Flavour Symmetric Model with Inverse SeesawMar 20 2017Jun 22 2017We study an inverse seesaw model of neutrino mass within the framework of $S_4$ flavour symmetry from the requirement of generating non-zero reactor mixing angle $\theta_{13}$ along with correct dark matter relic abundance. The leading order $S_4$ model ... More
Common Origin of Non-zero $θ_{13}$ and Baryon Asymmetry of the Universe in a TeV scale Seesaw Model with $A_4$ Flavour SymmetryNov 07 2017May 18 2018We study the possibility of generating non-zero reactor mixing angle $\theta_{13}$ and baryon asymmetry of the Universe within the framework of an $A_4$ flavour symmetric model. Using the conventional type I seesaw mechanism we construct the Dirac and ... More
New U(1) Gauge Model of Radiative Lepton Masses with Sterile Neutrino and Dark MatterDec 17 2015Feb 22 2016An anomaly-free U(1) gauge extension of the standard model (SM) is presented. Only one Higgs doublet with a nonzero vacuum expectation is required as in the SM. New fermions and scalars as well as all SM particles transform nontrivially under this U(1), ... More
Discrete-time optimal attitude control of spacecraft with momentum and control constraintsSep 15 2015May 29 2016This article solves an optimal control problem arising in attitude control of a spacecraft under state and control constraints. We first derive the discrete-time attitude dynamics by employing discrete mechanics. The orientation transfer, with initial ... More
Effect of limited statistics on higher order cumulants measurement in heavy-ion collision experimentsSep 24 2018We have studied the effect of limited statistics of data on measurement of the different order of cumulants of net-proton distribution assuming that the proton and antiproton distributions follow Possionian and Binomial distributions with initial parameters ... More
Contiguity results for planted partition models: the dense caseSep 09 2016We consider the two block stochastic block model on $n$ nodes with asymptotically equal cluster sizes. The connection probabilities within and between cluster are denoted by $p_n:=\frac{a_n}{n}$ and $q_n:=\frac{b_n}{n}$ respectively. Mossel et al.(2012) ... More
On the closed embedding of the product of theta divisors into product of Jacobians and Chow groupsSep 14 2016In this article we generalize the injectivity of the push-forward homomorphism at the level of Chow groups, induced by the closed embedding of $\Sym^m C$ into $\Sym^n C$ for $m\leq n$, where $C$ is a smooth projective curve, to symmetric powers of a smooth ... More
Gauge Independent Reduction of a Solvable Model with Gribov-Like AmbiguityOct 30 1996We present a gauge independent Lagrangian method of abstracting the reduced space of a solvable model with Gribov-like ambiguity, recently proposed by Friedberg, Lee, Pang and Ren. The reduced space is found to agree with the explicit solutions obtained ... More
Duality and Bosonisation in Arbitrary DimensionsSep 19 1995A functional integral approach is developed to discuss the bosonisation of the massive Thirring and the massive Schwinger models in arbitrary D-dimensions. It is found that these models, to {\it all} orders in the inverse fermi mass, bosonise to a theory ... More
A modular description of ER(2)Dec 10 2012Jan 28 2014We give a description of the maximally unramified extension of completed second Real Johnson-Wilson theory using supersingular elliptic curves with $\Gamma_0(3)$-level structures.
On the constrained structure of duality symmetric Maxwell theoryAug 18 1998The constrained structure of the duality invariant form of Maxwell theory is considered in the Hamiltonian formulation of Dirac as well as from the symplectic viewpoint. Compared to the former the latter approach is found to be more economical and elegant. ... More
Involutions on algebraic surfaces and zero cyclesOct 18 2016In this note we are going to consider a smooth projective surface equipped with an involution and study the action of the involution at the level of Chow group of zero cycles.
Simulation of thin hyperelastic shells with the Material Point MethodOct 13 2005A non-linear shell theory that includes transverse shear strains and its implementation in the material point method framework are discussed. The applicability of the shell implementation to model large deformations of thin shells is explored. Results ... More
The Mechanical Threshold Stress model for various tempers of AISI 4340 steelOct 13 2005Numerical simulations of high-strain-rate and high-temperature deformation of pure metals and alloys require realistic plastic constitutive models. Empirical models include the widely used Johnson-Cook model and the semi-empirical Steinberg-Cochran-Guinan-Lund ... More
Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter groupFeb 27 2019Mar 11 2019In his 1963 paper, Dirac [1] gave `A Remarkable Representation of the 3 + 2 de- Sitter Group'. We reproduce this representation using a generalised Jordan map which is motivated by the infinitesimal symplectic transformations related to the four dimensional ... More
Edge Current of FQHE and Aharanov-Bhom Type PhaseAug 15 2004When two non-identical quasi-particles in the Hall fluid encircle each other, relative AB type phase developes.As the quasi-particles advance towards the edge in a similar circular way, the developed current should have connection with this AB type phase ... More