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Generalization of Risch's Algorithm to Special FunctionsMay 07 2013Symbolic integration deals with the evaluation of integrals in closed form. We present an overview of Risch's algorithm including recent developments. The algorithms discussed are suited for both indefinite and definite integration. They can also be used ... More

The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic ScatteringApr 18 2019We calculate the polarized massive two--loop pure singlet Wilson coefficient contributing to the structure functions $g_1(x,Q^2)$ analytically in the whole kinematic region. The Wilson coefficient contains Kummer--elliptic integrals. We derive the representation ... More

Iterated Binomial Sums and their Associated Iterated IntegralsJul 03 2014We consider finite iterated generalized harmonic sums weighted by the binomial $\binom{2k}{k}$ in numerators and denominators. A large class of these functions emerges in the calculation of massive Feynman diagrams with local operator insertions starting ... More

The $O(α^2)$ Initial State QED Corrections to $e^+e^-$ Annihilation to a Neutral Vector Boson RevisitedJan 23 2019We calculate the non-singlet, the pure singlet contribution, and their interference term, at $O(\alpha^2)$ due to electron-pair initial state radiation to $e^+ e^-$ annihilation into a neutral vector boson in a direct analytic computation without any ... More

The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scatteringMar 14 2019We calculate the massive two--loop pure singlet Wilson coefficients for heavy quark production in the unpolarized case analytically in the whole kinematic region and derive the threshold and asymptotic expansions. We also recalculate the corresponding ... More

Symbolic Computations for Nonlinear ResonancesJun 26 2007Nov 12 2007Nonlinear dynamics and pattern formation in the systems with quadratic nonlinearity is computed symbolically by specially developed MATHEMATICA package. A Web interface for the presented methods is developed, which turns the implementations from only ... More

Iterated Elliptic and Hypergeometric Integrals for Feynman DiagramsJun 05 2017We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $\rho$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be factorized in ... More

Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD CalculationsNov 27 2017Various of the single scale quantities in massless and massive QCD up to 3-loop order can be expressed by iterative integrals over certain classes of alphabets, from the harmonic polylogarithms to root-valued alphabets. Examples are the anomalous dimensions ... More

3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic ScatteringFeb 01 2016A survey is given on the status of 3-loop heavy flavor corrections to deep-inelastic structure functions at large enough virtualities $Q^2$.

Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagramsJul 17 2014Nested sums containing binomial coefficients occur in the computation of massive operator matrix elements. Their associated iterated integrals lead to alphabets including radicals, for which we determined a suitable basis. We discuss algorithms for converting ... More

Effective quantum field theories in general spacetimesSep 03 2008Feb 17 2013We introduce regular charts as physical reference frames in spacetime, and we show that general spacetimes can always be fully captured by regular charts. Effective quantum field theories (QFTs) can be conveniently defined in regular reference frames, ... More

Persistent Contextual Values as Inter-Process LayersOct 14 2016Mobile applications today often fail to be context aware when they also need to be customizable and efficient at run-time. Context-oriented programming allows programmers to develop applications that are more context aware. Its central construct, the ... More

Non-planar Feynman integrals, Mellin-Barnes representations, multiple sumsJul 29 2014The construction of Mellin-Barnes (MB) representations for non-planar Feynman diagrams and the summation of multiple series derived from general MB representations are discussed. A basic version of a new package AMBREv.3.0 is supplemented. The ultimate ... More

Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic ScatteringJul 29 2013We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2 \gg m^2$.

LBT/ARGOS adaptive optics observations of z$\sim 2$ lensed galaxiesJun 26 2018Jun 28 2018Gravitationally lensed systems allow a detailed view of galaxies at high redshift. High spatial- and spectral-resolution measurements of arc-like structures can offer unique constraints on the physical and dynamical properties of high-z systems. We present ... More

Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of NDec 31 2012Jan 02 2013Recent results on the calculation of 3-loop massive operator matrix elements in case of one and two heavy quark masses are reported. They concern the $O(n_f T_F^2 C_{F,A})$ and $O(T_F^2 C_{F,A})$ gluonic corrections, two-mass quarkonic moments, and ladder- ... More

Ein gesuchter, dennoch bislang unbekannter elementarer SatzOct 28 2008Apr 07 2009If and only if each point of a set of the phase-space is in the topological hull of a trajectory running through any other point of this set, we call this set a quasiergodic set. But which are these so defined quasiergodic sets in the case of a given ... More

Konzepte der abstrakten Ergodentheorie. Zweiter Teil: Sensitive Cantor-SystemeApr 07 2009In the first part of our generalized ergodic theory we introduced Cantor-systems, when we managed to prove the generalized ergodic theorem 3.3. The first component of a Cantor-system is a group of the flow and its second component is a set of sets covering ... More

Konzepte der abstrakten Ergodentheorie. Erster Teil: Abstraktion und Analyse des AttraktorbegriffesFeb 17 2009Apr 07 2009Our conception of a generalized ergodic theory shall exceed the generality of general topology: In this first part of the generalized ergodic theory we investigate the logical constitution of the conception of attractors. We prepare a general theory of ... More

The LSC Glitch Group : Monitoring Noise Transients during the fifth LIGO Science RunApr 04 2008Jul 14 2008The LIGO Scientific Collaboration (LSC) glitch group is part of the LIGO detector characterization effort. It consists of data analysts and detector experts who, during and after science runs, collaborate for a better understanding of noise transients ... More

ARGOS at the LBT. Binocular laser guided ground layer adaptive opticsJun 26 2018Jan 07 2019Having completed its commissioning phase, the Advanced Rayleigh guided Ground-layer adaptive Optics System (ARGOS) facility is coming online for scientific observations at the Large Binocular Telescope (LBT). With six Rayleigh laser guide stars in two ... More

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scatteringJul 14 2014We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$. We discuss the different methods used to compute the required ... More

New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic ScatteringNov 30 2013We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2 \gg m^2$. Four new out of eight massive ... More

Application of Maximum Entropy Deconvolution to $γ$-ray SkymapsAug 25 2015Skymaps measured with imaging atmospheric Cherenkov telescopes (IACTs) represent the real source distribution convolved with the point spread function of the observing instrument. Current IACTs have an angular resolution in the order of 0.1$^\circ$ which ... More

Integrated Detector Control and Calibration Processing at the European XFELJan 08 2016The European X-ray Free Electron Laser is a high-intensity X-ray light source currently being constructed in the area of Hamburg, that will provide spatially coherent X-rays in the energy range between $0.25\,\mathrm{keV}$ and $25\,\mathrm{keV}$. The ... More

3-loop heavy flavor Wilson coefficients in deep-inelastic scatteringSep 05 2014We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large $Q^2$ limit, where the heavy flavor Wilson coefficients are known to factorize into light flavor Wilson coefficients ... More

A simplified approach to generating synthetic data for disclosure controlAug 31 2014Nov 30 2016We describe results on the creation and use of synthetic data that were derived in the context of a project to make synthetic extracts available for users of the UK Longitudinal Studies. A critical review of existing methods of inference from large synthetic ... More

Guidelines for Producing Useful Synthetic DataDec 12 2017We report on our experiences of helping staff of the Scottish Longitudinal Study to create synthetic extracts that can be released to users. In particular, we focus on how the synthesis process can be tailored to produce synthetic extracts that will provide ... More

Isospin Mixing of Narrow Pentaquark StatesApr 29 2004Interpreting the recently discovered narrow exotic baryons as pentaquark states, we discuss, along an old argument of ours, the isospin mixing occurring within the two doublets of $Q = -1$ and Q=0 states lying inside the $S=-2$ ($\Xi$-cascade) sector. ... More

Entropy ratio for infinite sequences with positive entropyFeb 28 2018The complexity function of an infinite word $w$ on a finite alphabet $A$ is the sequence counting, for each non-negative $n$, the number of words of length $n$ on the alphabet $A$ that are factors of the infinite word $w$. For any given function $f$ with ... More

Prospects for Detecting a Neutrino Magnetic Moment with a Tritium Source and Beta-beamsDec 11 2003Sep 21 2004We compare the prospects for detecting a neutrino magnetic moment by the measurement of neutrinos from a tritium source, reactors and low-energy beta-beams. In all cases the neutrinos or antineutrinos are detected by scattering of electrons. We find that ... More

Magnetic Charge in a Nonassociative Field TheoryMay 01 1996The violation of the Jacobi identity by the presence of magnetic charge is accomodated by using an explicitly nonassociative theory of octonionic fields. It is found that the dynamics of this theory is simplified if the Lagrangian contains only dyonic ... More

8-13 micron spectroscopy of NGC 253: a spatially resolved starburstDec 15 1998Dec 16 1998NGC 253 is a nearby spiral galaxy that is currently undergoing a nuclear burst of star formation in a 100 pc diameter region. We present spatially resolved 8--13 micron low-resolution spectra at four positions along the ridge of 8--13 micron emission. ... More

The Deep Silicate Absorption Feature in IRAS 08572+3915 and Other Infrared GalaxiesMay 30 1997New mid-infrared (10 and 20 micron) spectro-photometry of the ultraluminous infrared galaxy IRAS 08572+3915 is presented. The 10 micron spectrum reveals a deep silicate absorption feature, while the 20 micron spectrum shows no clear evidence for an 18 ... More

An Octonionic Gauge TheoryMar 28 1995The nonassociativity of the octonion algebra necessitates a bimodule representation, in which each element is represented by a left and a right multiplier. This representation can then be used to generate gauge transformations for the purpose of constructing ... More

The 8-13 Micron Spectrum of Arp 299CFeb 19 1993Arp 299C is a $5 \times 10^{10}$ \Lsun infrared source in the merging galaxy system Arp 299. It is the most luminous object known that is not obviously associated with a galaxy nucleus. Our data show that the 8--13 \mum spectrum of Arp 299C has a strong ... More

Constrained systems described by Nambu mechanicsMay 29 1996Using the framework of Nambu's generalised mechanics, we obtain a new description of constrained Hamiltonian dynamics, involving the introduction of another degree of freedom in phase space, and the necessity of defining the action integral on a world ... More

Fermionic Schwinger-Keldysh Propagators from AdS/CFTApr 30 2009Jun 25 2009The Herzog and Son prescription for computing real-time Green functions for finite temperature gauge theories from their gravity dual is generalized to fermions. These notes explain how such an extension involves properties of spinors in a curved, complexified ... More

Semantic learning in autonomously active recurrent neural networksMar 11 2009The human brain is autonomously active, being characterized by a self-sustained neural activity which would be present even in the absence of external sensory stimuli. Here we study the interrelation between the self-sustained activity in autonomously ... More

New Integrable Deformations of Higher Spin Heisenberg-Ising ChainsMar 12 1992We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we construct and study ... More

Tensor meson exchange at low energiesMay 04 2007Jul 24 2007We complete the analysis of meson resonance contributions to chiral low-energy constants of O(p^4) by including all quark-antiquark bound states with orbital angular momentum less or equal to one. Different tensor meson Lagrangians used in previous work ... More

Photon splitting in strong magnetic fields: asymptotic approximation formulae vs. accurate numerical resultsMay 08 1996Aug 06 1996We present the results of a numerical calculation of the photon splitting rate below the electron-pair creation threshold ($\omega \le 2m$) in magnetic fields $B ~{> \atop \sim}~ B_{\rm cr} = m^2 /e = 4.414 \times 10^{9}$ T. Our results confirm asymptotic ... More

Quasi-BiHamiltonian Systems and SeparabilityFeb 24 1997Two quasi--biHamiltonian systems with three and four degrees of freedom are presented. These systems are shown to be separable in terms of Nijenhuis coordinates. Moreover the most general Pfaffian quasi-biHamiltonian system with an arbitrary number of ... More

The Marseille Schmidt survey for active star-forming galaxies. I. Data on 92 emission line objects in two fieldsJun 04 1998We present data from a moderately deep spectroscopic Schmidt survey (Blim=17.5) of ``active galaxies'' selected by the presence of emission lines in their spectra and/or their UV excess. The redshift, magnitudes, color and diameter reduction methods have ... More

On the Coherent State Path Integral for Linear SystemsMar 28 2005We present a computation of the coherent state path integral for a generic linear system using ``functional methods'' (as opposed to discrete time approaches). The Gaussian phase space path integral is formally given by a determinant built from a first-order ... More

Quantum Dynamics of the Polarized Gowdy ModelJun 27 2002Jun 28 2002The polarized Gowdy ${\bf T}^3$ vacuum spacetimes are characterized, modulo gauge, by a ``point particle'' degree of freedom and a function $\phi$ that satisfies a linear field equation and a non-linear constraint. The quantum Gowdy model has been defined ... More

Gravitational Waves: Just Plane SymmetryJul 27 1999We present some remarkable properties of the symmetry group for gravitational plane waves. Our main observation is that metrics with plane wave symmetry satisfy every system of generally covariant vacuum field equations except the Einstein equations. ... More

Symmetry Reduction of Quasi-Free StatesJan 27 2009Given a group-invariant quasi-free state on the algebra of canonical commutation relations (CCR), we show how group averaging techniques can be used to obtain a symmetry reduced CCR algebra and reduced quasi-free state. When the group is compact this ... More

Gravitational Observables and Local SymmetriesJun 24 1993Using a recent classification of local symmetries of the vacuum Einstein equations, it is shown that there can be no observables for the vacuum gravitational field (in a closed universe) built as spatial integrals of local functions of Cauchy data and ... More

The Intermediate Age Brown Dwarf LP 944-20Jan 17 1998Observations are presented which show that LiI 6708A is detected with equivalent width of 0.53+-0.05A in the proper-motion object LP 944-20 (which is also known as BRI 0337-3535). This Li detection implies that LP 944-20 is a brown dwarf with mass between ... More

Vertex operator algebras, generalized doubles and dual pairsJun 01 2000Let V be a simple vertex operator algebra and G a finite automorphism group. Then there is a natural right G-action on the set of all inequivalent irreducible V-modules. Let S be a finite set of inequivalent irreducible V-modules which is closed under ... More

Monstrous Moonshine of higher weightMar 24 1998Jun 12 1998We determine the space of 1-point correlation functions associated with the Moonshine module: they are precisely those modular forms of non-negative integral weight which are holomorphic in the upper half plane, have a pole of order at most 1 at infinity, ... More

Supersymmetry and the Rotation GroupJan 22 2018A model invariant under a supersymmetric extension of the rotation group O(3) is mapped, using a stereographic projection, from the spherical surface S2 to two dimensional Euclidean space. The resulting model does not have a manifest local structure.

Convex ancient solutions of the mean curvature flowMay 29 2014We study solutions of the mean curvature flow which are defined for all negative curvature times, usually called ancient solutions. We give various conditions ensuring that a closed convex ancient solution is a shrinking sphere. Examples of such conditions ... More

Large Scale Magnetic Fields and the Number of Cosmic Ray Sources above 10^(19) eVMar 18 2002We present numerical simulations for the two-point correlation function and the angular power spectrum of nucleons above 10^{19} injected by a discrete distribution of sources following a simple approximation to the profile of the Local Supercluster. ... More

Limits on the location of planetesimal formation in self-gravitating protostellar discsJun 04 2009In this Letter we show that if planetesimals form in spiral features in self-gravitating discs, as previously suggested by the idealised simulations of Rice et al, then in realistic protostellar discs, this process will be restricted to the outer regions ... More

Comment on "Polar and antiferromagnetic order in f=1 boson systems"Jul 02 2014An inequality for the lower bound of the average number of hyperfine component $\mu =0$ particles in the ground state of spin-1 condensates under a magnetic field has been derived in ref.\cite{tasa13}. It is shown in this comment that, in a broad domain ... More

Deduction of the quantum unmbers of low-lying states of the (e+e+e-e-) system from symmetry considerationMay 04 1998The feature of the low-lying spectrum and a complete set of quantum numbers of the (e+e+e-e-) system have been deduced based on symmetry consideration. The existence of a low odd-parity L=1 excited state with the spins of the two electrons coupled to ... More

The Renormalization Group and the Effective Potential in the Wess-Zumino modelMay 25 2018We consider the effective potential V in the massless Wess-Zumino model. By using the renormalization group equation, we show that the explicit dependence of V on the renormalization mass scale mu cancels. If V has an extremum at some non-vanishing value ... More

Coherent electron-phonon states in suspended quantum dots: decoherence and dissipation effectsNov 11 2007The dynamics of coherent electron-phonon (el-ph) states is investigated for a suspended nanostructure. Exact quantum dynamics calculations reveal that electron and phonons (comprising a thermal bath) couple quantum mechanically to perform coherent oscillations ... More

The Morse Complex for a Morse Function on a Manifold with CornersJun 23 2004Aug 12 2004A Morse function f on a manifold with corners M allows the characterization of the Morse data for a critical point by the Morse index. In fact, a modified gradient flow allows a proof of the Morse theorems in a manner similar to that of classical Morse ... More

Magnetic field growth in young glitching pulsars with a braking indexJun 12 2015Jul 08 2015In the standard scenario for spin evolution of isolated neutron stars, a young pulsar slows down with a surface magnetic field B that does not change. Thus the pulsar follows a constant B trajectory in the phase space of spin period and spin period time ... More

Superfluid effects on gauging core temperatures of neutron stars in low-mass X-ray binariesAug 31 2011Oct 06 2011Neutron stars accreting matter from low-mass binary companions are observed to undergo bursts of X-rays due to the thermonuclear explosion of material on the neutron star surface. We use recent results on superfluid and superconducting properties to show ... More

Evolution of a buried magnetic field in the central compact object neutron starsFeb 23 2011The central compact objects are a newly-emerging class of young neutron stars near the centre of supernova remnants. From X-ray timing and spectral measurements, their magnetic fields are determined to be ~ 10^10-10^11 G, which is significantly lower ... More

The open mapping theorem for regular quaternionic functionsFeb 26 2008The basic results of a new theory of regular functions of a quaternionic variable have been recently stated, following an idea of Cullen. In this paper we prove the minimum modulus principle and the open mapping theorem for regular functions. The proofs ... More

Cosmological tracking solution and the Super-Higgs mechanismSep 16 2015Jul 30 2016In this paper we argue that minimal supergravity with flat K\"ahler metric and a power-law superpotential can relate the Super-Higgs mechanism for the local spontaneous supersymmetry breaking and the cosmological tracking solution, leading in turn to ... More

Coupled dark energy: a dynamical analysis with complex scalar fieldJul 01 2015Jan 11 2016The dynamical analysis for coupled dark energy with dark matter is presented, where a complex scalar field is taken into account and it is considered in the presence of a barothropic fluid. We consider three dark energy candidates: quintessence, phantom ... More

ACM vector bundles on prime Fano threefolds and complete intersection Calabi Yau threefoldsMar 02 2001In this paper we derive a list of all the possible indecomposable normalized rank--two vector bundles without intermediate cohomology on the prime Fano threefolds and on the complete intersection Calabi Yau threefolds, say $V$, of Picard number $\rho=1$. ... More

Porosity of the free boundary for p-parabolic type equations in non-divergence formOct 08 2018In this article we establish the exact growth of the solution to the singular quasilinear p-parabolic free boundary problem in non-divergence form near the free boundary from which follows its porosity.

A self-similar model for shear flows in dense granular materialsJan 28 1999Feb 24 2000We propose a model to describe the quasistatic shearing of dry granular materials, which notably captures the differences in velocity profiles recently observed in 2 and 3-D Couette flow experiments. In our scheme, the steady-state flow is due to the ... More

A Precise Measurement of the Weak Mixing Angle in Neutrino-Nucleon ScatteringMay 18 1994We report a precise measurement of the weak mixing angle from the ratio of neutral current to charged current inclusive cross-sections in deep-inelastic neutrino-nucleon scattering. The data were gathered at the CCFR neutrino detector in the Fermilab ... More

Non-perturbative renormalization in lattice QCDSep 23 1996In this talk I will discuss a number of approaches designed to deal with the problem of setting up a fully non-perturbative renormalization procedure in lattice QCD. Methods based on Ward-Takahashi identities on hadronic states, on imposing chiral selection ... More

On the double and triple-humped fission barriers and half-lives of actinide elementsOct 13 2004The deformation barriers standing in the quasi-molecular shape path have been determined in the actinide region within a macroscopic-microscopic energy derived from a generalized liquid drop model, the algebraic droplet model shell corrections and analytic ... More

Diagrammatic Pairing Fluctuations Approach to the BCS-BEC CrossoverNov 25 2010This paper gives a survey of a diagrammatic approach for fermionic pairing fluctuations, which are relevant to the BCS-BEC crossover realized with ultracold Fermi gases. Emphasis will be given to the physical intuition about the relevant physical processes ... More

Estimation of the ratio of the pn -> pn pi0 pi0/pn -> d pi0 pi0 cross sectionsMay 20 2011Evidence has recently been presented for the existence of a dibaryon of mass 2380 MeV/c^2 and width 70 MeV/c^2, which decays strongly into the d pi0 pi0 channel [M. Bashkanov et al., Phys.Rev.Lett. 102 (2009) 052301; P. Adlarson et al., arXiv:1104.0123]. ... More

Field quantization for open optical cavitiesMar 25 2002Jan 10 2003We study the quantum properties of the electromagnetic field in optical cavities coupled to an arbitrary number of escape channels. We consider both inhomogeneous dielectric resonators with a scalar dielectric constant $\epsilon({\bf r})$ and cavities ... More

Depletion curves of galaxy number counts behind cluster lensesSep 06 1999When the logarithmic slope of the galaxy counts is lower than 0.4 (this is the case in all filters at high magnitude), the magnification bias due to the lens makes the number density of objects decrease. Consequently, the radial distribution shows a typical ... More

On a class of dynamical systems both quasi-bi-Hamiltonian and bi-HamiltonianNov 10 1998It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero [J. Math. Phys. 37 (1996) 1735]) is both quasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the separability of these systems; the ... More

Heavy quark in an expanding plasma in AdS/CFTApr 12 2009May 25 2009Using the Janik-Peschanski dual to a Bjorken flow, a Langevin equation is derived for a heavy quark in an expanding N = 4 supersymmetric Yang-Mills plasma. Such a plasma is characterized by a proper-time dependence of the temperature and corresponds to ... More

Graph Quantum GroupsDec 22 1993We define a new mathematical structure ( graph quantum group) which combines the tower of algebras associated with a graph ${\cal G}$ and the structure of a Hopf algebra {\cal A}. In this structure Ocneanu's string operators become Hopf algebra intertwiners. ... More

Red clump distances to the inner Galactic structuresJun 17 2005The least well known structure of the Galaxy is its central region, because of the high extinction, the crowding and the confusion between disk and bulge sources along the line of sight. We show how the structure of the inner Galaxy and the dust distribution ... More

The concept of Existence and the derivation of a Quantum ForceFeb 26 2004We define a new dynamical variable, the relative existence e, in terms of space and time. Taking it as a generalized positional coordinate, we show that for conservative systems the canonically conjugated momentum is identified as the classical force. ... More

Neutrino-Nucleus Cross Section Measurements using Stopped Pions and Low Energy Beta BeamsApr 01 2004Two new facilities have recently been proposed to measure low energy neutrino-nucleus cross sections, the nu-SNS (Spallation Neutron Source) and low energy beta beams. The former produces neutrinos by pion decay at rest, while the latter produces neutrinos ... More

Active-Sterile Neutrino Transformation and r-Process NucleosynthesisAug 18 2000The type II supernova is considered as a candidate site for the production of heavy elements. Since the supernova produces an intense neutrino flux, neutrino scattering processes will impact element formation. We examine active-sterile neutrino conversion ... More

Schrodinger representation for the polarized Gowdy modelJul 20 2006The polarized ${\bf T}^3$ Gowdy model is, in a standard gauge, characterized by a point particle degree of freedom and a scalar field degree of freedom obeying a linear field equation on ${\bf R}\times{\bf S}^1$. The Fock representation of the scalar ... More

Some Remarks on Gravitational Analogs of Magnetic ChargeNov 07 1994Existing mathematical results are applied to the problem of classifying closed $p$-forms which are locally constructed from Lorentzian metrics on an $n$-dimensional orientable manifold $M$ ($0<p<n$). We show that the only closed, non-exact forms are generated ... More

Natural Symmetries of the Yang-Mills EquationsJul 20 1994We define a natural generalized symmetry of the Yang-Mills equations as an infinitesimal transformation of the Yang-Mills field, built in a local, gauge invariant, and Poincar\'e invariant fashion from the Yang-Mills field strength and its derivatives ... More

The Problems of Time and Observables: Some Recent Mathematical ResultsApr 14 1994We present 2 recent results on the problems of time and observables in canonical gravity. (1) We cannot use parametrized field theory to solve the problem of time because, strictly speaking, general relativity is not a parametrized field theory. (2) We ... More

Spinors, Jets, and the Einstein EquationsAug 03 1995Many important features of a field theory, {\it e.g.}, conserved currents, symplectic structures, energy-momentum tensors, {\it etc.}, arise as tensors locally constructed from the fields and their derivatives. Such tensors are naturally defined as geometric ... More

Covariant Phase Space Formulation of Parametrized Field TheoriesApr 17 1992Parametrized field theories, which are generally covariant versions of ordinary field theories, are studied from the point of view of the covariant phase space: the space of solutions of the field equations equipped with a canonical (pre)symplectic structure. ... More

Is General Relativity an 'Already Parametrized' Field Theory?Apr 06 1992Beginning with the work of Dirac and Arnowitt, Deser, Misner in the late fifties and early sixties, and then after subsequent development by Kucha\v r, the canonical dynamical structure of general relativity has often been viewed as that of a parametrized ... More

Holomorphic Vertex Operator Algebras of Small Central ChargesMar 01 2002We provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens. If c = 8 or 16 we show that V is isomorphic to a lattice theory corresponding ... More

Rational Vertex Operator Algebras and the Effective Central ChargeJan 31 2002We establish that the Lie algebra of weight one states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank is bounded above by the effective central charge. We show that lattice vertex operator algebras may be characterized ... More

Quantum Galois theory for compact Lie groupsApr 21 1998We establish a quantum Galois correspondence for compact Lie groups of automorphisms acting on a simple vertex operator algebra.

The extraction of parameters from final state interactionsNov 21 2016It is argued that final state enhancements in production reactions at large momentum transfers, such as pp -> K^+ Lambda p, are primarily sensitive to the position of a virtual bound state pole in the Lambda p system rather than the Lambda p scattering ... More

Cross section and analyzing power of pol{p}p -> pn pi+ near thresholdApr 24 1997The cross section and analyzing power of the pol{p}p -> pn pi+ reaction near threshold are estimated in terms of data obtained from the pol{p}p -> d pi+ and pp -> pp pi0 reactions. A simple final state interaction theory is developed which depends weakly ... More

Lower bound for the population of hyperfine component $μ=0$ particles in the ground state of spin-1 condensatesJul 05 2014An analytical expression for the lower bound of the average number of hyperfine component $\mu =0$ particles in the ground state of spin-1 condensates (denoted as $\overset{\_\_}{\rho _{0}}$) under a magnetic field has been derived. In the derivation ... More

Qualitative analysis on the existence of bound excited states and low-lying resonances of the dipositroniumJun 02 1998Symmetry has imposed very strong constraints on the structures of internal wave functions and on the accessibility of outgoing channels. Based on symmetry consideration, the existence of a number of bound excited states and low-lying resonances has been ... More

Symmetry background of the stability of the second 0^+ state of 4^HeFeb 25 1999It was found in this paper that the dominant component of the wave function of the second 0^+ state of 4^He and the corresponding component of the 3^H+p channel have different spatial permutation symmetries. This fact will hinder the wave function to ... More

Primes in Beatty sequenceJan 07 2019In this paper, we prove an upper bound for the least prime square in an irrational non homogeneous Beatty sequence $\lbrace \lfloor \alpha n+\beta \rfloor : n=1,2,3, \dots \rbrace$, where $\alpha, \beta \in \mathbb{R}$ and $\alpha >1.$ We also prove an ... More