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Longitudinal thermalization via the chromo-Weibel instabilityJan 31 2013Non-Abelian plasma instabilities play an important role in the non-equilibrium dynamics of a weakly coupled quark-gluon plasma. Using the discretized hard loop framework we calculate the time evolution of soft gluonic fields in a longitudinally free streaming ... More

The chromo-Weibel instability in an expanding backgroundFeb 20 2013In this proceedings contribution we review recent calculations of the dynamics of the chromo-Weibel instability in the quark gluon plasma. This instability is present in gauge theories with a one-particle distribution function which is momentum-space ... More

Bottomonia in the Quark Gluon PlasmaOct 28 2012I review recent calculations of the suppression of bottomonium states in heavy ion collisions. A non-relativistic potential is used which is complex valued. This allows one to extract the binding energies and decay widths of the ground and excited states ... More

Thermal Upsilon(1s) and chi_b1 suppression in sqrt(s_NN)=2.76 TeV Pb-Pb collisions at the LHCJun 13 2011Sep 22 2011I compute the thermal suppression of the Upsilon(1s) and chi_b1 states in sqrt(s_NN)=2.76 TeV Pb-Pb collisions. Using the suppression of each of these states I estimate the total R_AA for the Upsilon(1s) state as a function of centrality, rapidity, and ... More

Anisotropic Hydrodynamics: Motivation and MethodologyJan 06 2014In this proceedings contribution I review recent progress in our understanding of the bulk dynamics of relativistic systems that possess potentially large local rest frame momentum-space anisotropies. In order to deal with these momentum-space anisotropies, ... More

Visualizing Color Plasma InstabilitiesNov 17 2005Dec 12 2005I discuss recent advances in the understanding of non-equilibrium gauge field dynamics in plasmas which have particle distributions which are locally anisotropic in momentum space. In contrast to locally isotropic plasmas such anisotropic plasmas have ... More

Thermal Bottomonium SuppressionJul 23 2012Mar 11 2013I discuss recent calculations of the thermal suppression of bottomonium states in relativistic heavy ion collisions. I present results for the inclusive Upsilon(1s) and Upsilon(2s) suppression as a function of centrality. I compare with recent preliminary ... More

Thermalization and the chromo-Weibel instabilityJan 29 2007Despite the apparent success of ideal hydrodynamics in describing the elliptic flow data which have been produced at Brookhaven National Lab's Relativistic Heavy Ion Collider, one lingering question remains: is the use of ideal hydrodynamics at times ... More

Highly anisotropic dissipative hydrodynamicsAug 13 2012Oct 13 2012The quark gluon plasma generated in ultrarelativistic heavy ion collisions may possess sizable momentum-space anisotropies that cause the longitudinal and transverse pressures in the local rest frame to be significantly different. We review recent attempts ... More

Using bottomonium production as a tomographic probe of the quark-gluon plasmaJun 03 2019The suppression of bottomonia in ultrarelativistic heavy-ion collisions is a smoking gun for the production of a strongly interacting final state in ultrarelativistic heavy-ion collisions. Furthermore, these final state interactions are consistent with ... More

Heavy quarkonium suppression beyond the adiabatic limitMay 14 2019Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine ... More

Non-Perturbative QED and QCD at Finite TemperatureSep 30 1998We present results of numerical solutions of Schwinger-Dyson equations for the finite-temperature quark and electron propagators. It is shown that both strongly coupled QED and QCD undergo a chiral symmetry restoring phase transition as the temperature ... More

Anisotropic Hydrodynamics: Three lecturesOct 20 2014Nov 03 2014Anisotropic hydrodynamics is a non-perturbative reorganization of relativistic hydrodynamics that takes into account the large momentum-space anisotropies generated in ultrarelativistic heavy-ion collisions. As a result, it allows one to extend the regime ... More

Recent progress in anisotropic hydrodynamicsNov 15 2016The quark-gluon plasma created in a relativistic heavy-ion collisions possesses a sizable pressure anisotropy in the local rest frame at very early times after the initial nuclear impact and this anisotropy only slowly relaxes as the system evolves. In ... More

The non-equilibrium attractor: Beyond hydrodynamicsMar 31 2019The quark-gluon plasma created in heavy-ion collisions is not in local thermal equilibrium at early times. Despite this, dissipative hydrodynamics describes the evolution of the energy-momentum tensor quite well after only roughly 0.5 - 1 fm/c. This can ... More

Thermalization and isotropization in heavy-ion collisionsDec 09 2013I review our current understanding of the processes driving the thermalization and isotropization of the quark gluon plasma (QGP) created in ultrarelativistic heavy ion collisions (URHICs). I begin by discussing the phenomenological evidence in favor ... More

The chromo-Weibel instabilityNov 28 2006Dec 04 2006I discuss the physics of non-Abelian plasmas which are locally anisotropic in momentum space. Such momentum-space anisotropies are generated by the rapid longitudinal expansion of the matter created in the first 1 fm/c of an ultrarelativistic heavy ion ... More

Thermalization and plasma instabilitiesAug 15 2006I review recent analytical and numerical advances in the study of non-equilibrium quark-gluon plasma physics. I concentrate on studies of the dynamics of plasmas which are locally anisotropic in momentum space. In contrast to locally isotropic plasmas ... More

Hard-loop dynamics of non-abelian plasma instabilitiesSep 26 2005I discuss recent advances in the understanding of non-equilibrium gauge field dynamics in plasmas which have particle distributions which are locally anisotropic in momentum space. In contrast to locally isotropic plasmas such anisotropic plasmas have ... More

Small system studies: A theory overviewJul 19 2018Oct 23 2018There is now a substantial body of evidence that a deconfined quark-gluon plasma is created in ultrarelativistic collisions of heavy nuclei. Some key observables which are used to gauge the production of the quark-gluon plasma are the hadronic spectra ... More

Dissipative Dynamics of Highly Anisotropic SystemsJul 06 2010Oct 27 2010In this paper we present a method to improve the description of 0+1 dimensional boost invariant dissipative dynamics in the presence of large momentum-space anisotropies. We do this by reorganizing the canonical hydrodynamic expansion of the distribution ... More

Measuring Quark-Gluon-Plasma Thermalization Time with DileptonsSep 22 2007Mar 14 2008We calculate the medium dilepton yield from a quark-gluon plasma which has a time-dependent local momentum-space anisotropy. A phenomenological model for the hard momentum scale, p_hard(tau), and plasma anisotropy parameter, xi(tau), is constructed which ... More

Dilepton production from the quark-gluon plasma using (3+1)-dimensional anisotropic dissipative hydrodynamicsJan 14 2015We compute dilepton production from the deconfined phase of the quark-gluon plasma using leading-order (3+1)-dimensional anisotropic hydrodynamics. The anisotropic hydrodynamics equa- tions employed describe the full spatiotemporal evolution of the transverse ... More

Charmonia and Bottomonia in a Magnetic FieldSep 11 2013We study the effect of a static homogeneous external magnetic field on charmonium and bottomonium states. In an external magnetic field, quarkonium states do not have a conserved center-of-mass momentum. Instead there is a new conserved quantity called ... More

Thermal Bottomonium Suppression at RHIC and LHCDec 13 2011Feb 13 2012In this paper we consider the suppression of bottomonium states in ultrarelativistic heavy ion collisions. We compute the suppression as a function of centrality, rapidity, and transverse momentum for the states Upsilon(1s), Upsilon(2s), Upsilon(3s), ... More

Fermionic Collective Modes of an Anisotropic Quark-Gluon PlasmaJun 14 2006Jun 20 2006We determine the fermionic collective modes of a quark-gluon plasma which is anisotropic in momentum space. We calculate the fermion self-energy in both the imaginary- and real-time formalisms and find that numerically and analytically (for two special ... More

Anisotropic hydrodynamics with a scalar collisional kernelJan 30 2018Apr 23 2018Prior studies of non-equilibrium dynamics using anisotropic hydrodynamics have used the relativistic Anderson-Witting scattering kernel or some variant thereof. In this paper, we make the first study of the impact of using a more realistic scattering ... More

Including off-diagonal anisotropies in anisotropic hydrodynamicsFeb 08 2019Apr 26 2019In this paper we present a method for efficiently including the effects of off-diagonal local rest frame momentum anisotropies in leading-order anisotropic hydrodynamics. The method relies on diagonalization of the space-like block of the anisotropy tensor ... More

Constraining the onset of viscous hydrodynamicsJul 22 2009Sep 22 2009We derive two general criteria that can be used to constrain the initial time of the onset of 2nd-order conformal viscous hydrodynamics in relativistic heavy-ion collisions. We show this explicitly for 0+1 dimensional viscous hydrodynamics and discuss ... More

Progress in Anisotropic Plasma PhysicsAug 27 2004Aug 31 2004In 1959 Weibel demonstrated that when a QED plasma has a temperature anisotropy there exist unstable transverse magnetic excitations which grow exponentially fast. In this paper we will review how to determine the growth rates for these unstable modes ... More

Photon production from an anisotropic quark-gluon plasmaNov 27 2006We calculate photon production from a quark-gluon plasma which is anisotropic in momentum space including the Compton scattering and quark/anti-quark annihilation processes. We show that for a quark-gluon plasma which has an oblate momentum-space anisotropy ... More

Dilepton production from the quark-gluon plasma using leading-order (3+1)D anisotropic hydrodynamicsMay 15 2015Dilepton production from the quark-gluon plasma (QGP) phase of ultra-relativistic heavy-ion collisions is computed using the leading-order (3+1)-dimensional anisotropic hydrodynamics. It is shown that high-energy dilepton spectrum is sensitive to the ... More

Matching pre-equilibrium dynamics and viscous hydrodynamicsSep 01 2009Feb 02 2010We demonstrate how to match pre-equilibrium dynamics of a 0+1 dimensional quark gluon plasma to 2nd-order viscous hydrodynamical evolution. The matching allows us to specify the initial values of the energy density and shear tensor at the initial time ... More

Dilepton production as a measure of QGP thermalization timeApr 16 2008We discuss dilepton production from a quark-gluon plasma which has a time-dependent anisotropy in momentum space. A phenomenological model for the hard momentum scale, p_hard(tau) and the plasma anisotropy parameter, xi(tau), is presented. The model interpolates ... More

Constraining relativistic viscous hydrodynamical evolutionFeb 23 2009Apr 15 2009We show that by requiring positivity of the longitudinal pressure it is possible to constrain the initial conditions one can use in 2nd-order viscous hydrodynamical simulations of ultrarelativistic heavy-ion collisions. We demonstrate this explicitly ... More

Energy Loss of a Heavy Fermion in an Anisotropic QED PlasmaSep 09 2003Oct 06 2003We compute the leading-order collisional energy loss of a heavy fermion propagating in a QED plasma with an electron distribution function which is anisotropic in momentum space. We show that in the presence of such anisotropies there can be a significant ... More

Collective modes of an Anisotropic Quark-Gluon Plasma IIJun 17 2004We continue our exploration of the collective modes of an anisotropic quark gluon plasma by extending our previous analysis to arbitrary Riemann sheets. We demonstrate that in the presence of momentum-space anisotropies in the parton distribution functions ... More

Including off-diagonal anisotropies in anisotropic hydrodynamicsFeb 08 2019In this paper we present a method for efficiently including the effects of off-diagonal local rest frame momentum anisotropies in leading-order anisotropic hydrodynamics. The method relies on diagonalization of the space-like block of the anisotropy tensor ... More

Quasiparticle anisotropic hydrodynamicsOct 24 2016We study an azimuthally-symmetric boost-invariant quark-gluon plasma using quasiparticle anisotropic hydrodynamics including the effects of both shear and bulk viscosities. We compare results obtained using the quasiparticle method with the standard anisotropic ... More

Non-boost-invariant anisotropic dynamicsNov 12 2010Jan 07 2014We study the non-boost-invariant evolution of a quark-gluon plasma subject to large early-time momentum-space anisotropies. Rather than using the canonical hydrodynamical expansion of the distribution function around an isotropic equilibrium state, we ... More

Suppression of forward dilepton production from an anisotropic quark-gluon plasmaAug 28 2008We calculate the rapidity dependence of leading-order medium dilepton yields resulting from a quark-gluon plasma which has a local time-dependent anisotropy in momentum space. We present a phenomenological model which includes temporal evolution of the ... More

Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice dataJul 30 2013Dec 23 2013We perform a detailed analysis of the predictions of resummed perturbation theory for the pressure and the second-, fourth-, and sixth-order diagonal quark number susceptibilities in a hot and dense quark-gluon plasma. First, we present an exact one-loop ... More

Collisional Energy Loss of a Heavy Quark in an Anisotropic Quark-Gluon PlasmaAug 25 2004We compute the leading-order collisional energy loss of a heavy quark propagating through a quark-gluon plasma in which the quark and gluon distributions are anisotropic in momentum space. Following the calculation outlined for QED in an earlier work ... More

Collective Modes of an Anisotropic Quark-Gluon PlasmaApr 09 2003Oct 15 2003We analyze the collective modes of high-temperature QCD in the case when there is an anisotropy in the momentum-space distribution function for the gluons. We perform a tensor decomposition of the gluon self-energy and solve the dispersion relations for ... More

Predictions for bottomonia suppression in 5.023 TeV Pb-Pb collisionsMay 11 2016Aug 30 2016We compute the suppression of the bottomonia states Upsilon(1S), Upsilon(2S), Upsilon(3S), chi_b(1P), chi_b(2P), and chi_b(3P) states in Large Hadron Collider (LHC) sqrt(s_NN)) = 5.023 TeV Pb-Pb collisions. For the background evolution we use 3+1d anisotropic ... More

Including off-diagonal anisotropies in anisotropic hydrodynamicsFeb 08 2019Feb 19 2019In this paper we present a method for efficiently including the effects of off-diagonal local rest frame momentum anisotropies in leading-order anisotropic hydrodynamics. The method relies on diagonalization of the space-like block of the anisotropy tensor ... More

Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximationMar 07 2019We extend previous studies of the conformal 0+1d kinetic non-equilibrium attractor in relaxation time approximation by enforcing number conservation through the introduction of a dynamical fugacity (chemical potential). We derive two coupled integral ... More

Pre-equilibrium dilepton production from an anisotropic quark-gluon plasmaMay 29 2008Oct 13 2008We calculate leading-order dilepton yields from a quark-gluon plasma which has a time-dependent anisotropy in momentum space. Such anisotropies can arise during the earliest stages of quark-gluon plasma evolution due to the rapid longitudinal expansion ... More

Dilepton production and elliptic flow from an anisotropic quark-gluon plasmaNov 19 2018Feb 23 2019We calculate the yield and elliptic flow of mid-rapidity dileptons emitted from the quark-gluon plasma generated in Pb-Pb collisions at LHC. We use relativistic anisotropic hydrodynamics for the 3+1 dimensional evolution of the quark-gluon plasma and ... More

Critical Behaviour of a Homogeneous Bose Gas at Finite TemperatureAug 31 1998Jul 02 1999A homogeneous non-relativistic Bose gas is investigated at finite temperature using renormalization group methods. The phase transition is shown to be second order and the effective chemical potential and the effective quartic coupling vanish at the critical ... More

Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization GroupMar 20 1998The finite-temperature renormalization group is formulated via the Wilson-Kadanoff blocking transformation. Momentum modes and the Matsubara frequencies are coupled by constraints from a smearing function which plays the role of an infrared cutoff regulator. ... More

Application of Renormalization Group Techniques to a Homogeneous Bose Gas at Finite TemperatureNov 06 1998Feb 11 1999A homogeneous Bose gas is investigated at finite temperature using renormalization group techniques. A non--perturbative flow equation for the effective potential is derived using sharp and smooth cutoff functions. Numerical solutions of these equations ... More

A Parallel Algorithm for Solving the 3d Schrodinger EquationApr 06 2009Jun 04 2010We describe a parallel algorithm for solving the time-independent 3d Schrodinger equation using the finite difference time domain (FDTD) method. We introduce an optimized parallelization scheme that reduces communication overhead between computational ... More

Effective Critical Exponents from Finite Temperature Renormalization GroupApr 30 1996Effective critical exponents for the \lambda \phi^4 scalar field theory are calculated as a function of the renormalization group block size k_o^{-1} and inverse critical temperature \beta_c. Exact renormalization group equations are presented up to first ... More

Dimensional Crossover and Effective ExponentsApr 22 1996Apr 07 1997We investigate the critical behavior of the lambda phi^4 theory defined on S^1 x R^d having two finite length scales beta, the circumference of S^1, and k^{-1}, the blocking scale introduced by the renormalization group transformation. By numerically ... More

Renormalization Group Approach to Field Theory at Finite TemperatureJan 30 1995Scalar field theory at finite temperature is investigated via an improved renormalization group prescription which provides an effective resummation over all possible non-overlapping higher loop graphs. Explicit analyses for the lambda phi^4 theory are ... More

Three-loop Phi-derivable Approximation in QEDJun 15 2004Aug 16 2004In this paper we examine Phi-derivable approximations in QED. General theorems tell us that the gauge dependence of the n-loop Phi-derivable approximation shows up at order g^(2n) where g is the coupling constant. We consider the gauge dependence of the ... More

Mass Expansions of Screened Perturbation TheoryMay 21 2001Aug 08 2001The thermodynamics of massless phi^4-theory is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the Lagrangian. We analytically calculate the pressure ... More

The Equation of State for Dense QCD and Quark StarsJun 20 2002Jun 20 2002We calculate the equation of state for degenerate quark matter to leading order in hard-dense-loop (HDL) perturbation theory. We solve the Tolman-Oppenheimer-Volkov equations to obtain the mass-radius relation for dense quark stars. Both the perturbative ... More

Dynamics of Quark-Gluon-Plasma Instabilities in Discretized Hard-Loop ApproximationMay 31 2005Sep 25 2005Non-Abelian plasma instabilities have been proposed as a possible explanation for fast isotropization of the quark-gluon plasma produced in relativistic heavy-ion collisions. We study the real-time evolution of these instabilities in non-Abelian plasmas ... More

Bulk viscous evolution within anisotropic hydrodynamicsMay 06 2014Jul 29 2014We derive a system of moment-based dynamical equations that describe the 1+1d space-time evolution of a cylindrically symmetric massive gas undergoing boost-invariant longitudinal expansion. Extending previous work, we introduce an explicit degree of ... More

Anisotropic hydrodynamics for conformal Gubser flowDec 23 2015In this proceedings contribution, we review the exact solution of the anisotropic hydrodynamics equations for a system subject to Gubser flow. For this purpose, we use the leading-order anisotropic hydrodynamics equations which assume that the distribution ... More

Gluon Thermodynamics at Intermediate CouplingNov 03 2009Mar 31 2010We calculate the thermodynamic functions of Yang-Mills theory to three-loop order using the hard-thermal-loop perturbation theory reorganization of finite temperature quantum field theory. We show that at three-loop order hard-thermal-loop perturbation ... More

Hard-thermal-loop QED thermodynamicsNov 24 2009The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop order using ... More

Screened Perturbation Theory to Three LoopsJul 14 2000Jan 09 2001The thermal physics of a massless scalar field with a phi^4 interaction is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the lagrangian. We consider ... More

The anisotropic non-equilibrium hydrodynamic attractorSep 19 2017We determine the dynamical attractors associated with anisotropic hydrodynamics (aHydro) and the DNMR equations for a 0+1d conformal system using kinetic theory in the relaxation time approximation. We compare our results to the non-equilibrium attractor ... More

Transport coefficients for bulk viscous evolution in the relaxation time approximationJul 27 2014Oct 31 2014We derive the form of the viscous corrections to the phase-space distribution function due to the bulk viscous pressure and shear stress tensor using the iterative Chapman-Enskog method. We then calculate the transport coefficients necessary for the second-order ... More

Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulationsJul 24 2012Dec 19 2012We study the (3+1)-dimensional evolution of non-Abelian plasma instabilities in the presence of a longitudinally expanding background of hard particles using the discretized hard loop framework. The free streaming background dynamically generates a momentum-space ... More

Photon and dilepton production from a non-equilibrium quark-gluon plasmaSep 14 2015We calculate leading-order medium photon and dilepton yields from a quark-gluon plasma using (3+1)-dimensional anisotropic hydrodynamics. In the case of dileptons, at leading-order it is sufficient to take into account non-equilibrium corrections to the ... More

Photon production from a non-equilibrium quark-gluon plasmaJul 23 2015Feb 20 2016We calculate leading-order medium photon yields from a quark-gluon plasma using (3+1)-dimensional anisotropic hydrodynamics. Non-equilibrium corrections to the photon rate are taken into account using a self-consistent modification of the particle distribution ... More

Hard-Loop Dynamics of Non-Abelian Plasma InstabilitiesDec 02 2004Mar 26 2005Non-Abelian plasma instabilities may be responsible for the fast apparent quark-gluon thermalization in relativistic heavy-ion collisions if their exponential growth is not hindered by nonlinearities. We study the real-time evolution of instabilities ... More

Quasiparticle anisotropic hydrodynamics for central collisionsMay 06 2016We use quasiparticle anisotropic hydrodynamics to study an azimuthally-symmetric boost-invariant quark-gluon plasma including the effects of both shear and bulk viscosities. In quasiparticle anisotropic hydrodynamics, a single finite-temperature quasiparticle ... More

Anisotropic Hydrodynamics for Rapidly Expanding SystemsApr 02 2013Sep 25 2013We exactly solve the relaxation-time approximation Boltzmann equation for a system which is transversely homogeneous and undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solution with approximate solutions available ... More

Optimized fluid dynamics for heavy ion collisionsApr 17 2017The (viscous) anisotropic hydrodynamic approach, especially after perturbative inclusion of all residual viscous terms, has been shown to dramatically outperform viscous hydrodynamics in several simplified situations for which exact solutions exist but ... More

QED Thermodynamics at Intermediate CouplingOct 20 2009We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly review the ... More

The Massive Thermal Basketball DiagramFeb 04 2000Apr 14 2000The "basketball diagram" is a three-loop vacuum diagram for a scalar field theory that cannot be expressed in terms of one-loop diagrams. We calculate this diagram for a massive scalar field at nonzero temperature, reducing it to expressions involving ... More

Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon PlasmaFeb 11 1999May 14 1999We calculate the free energy of a hot gluon plasma to leading order in hard-thermal-loop perturbation theory. Effects associated with screening, gluon quasiparticles, and Landau damping are resummed to all orders. The ultraviolet divergences generated ... More

Color Instabilities in the Quark-Gluon PlasmaMar 29 2016When the quark-gluon plasma (QGP) - a system of deconfined quarks and gluons - is in a nonequilibrium state, it is usually unstable with respect to color collective modes. The instabilities, which are expected to strongly influence dynamics of the QGP ... More

Bottomonia suppression in 2.76 TeV Pb-Pb collisionsJul 14 2015We compute the QGP suppression of Upsilon(1s), Upsilon(2s), Upsilon(3s), chi_b1, and chi_b2 states in sqrt(s_NN)=2.76 TeV Pb-Pb collisions. Using the suppression of each of these states, we estimate the inclusive R_AA for the Upsilon(1s) and Upsilon(2s) ... More

Non-Abelian plasma instabilities: SU(3) vs. SU(2)Dec 01 2010Aug 12 2011We present the first 3+1 dimensional simulations of non-Abelian plasma instabilities in gauge-covariant Boltzmann-Vlasov equations for the QCD gauge group SU(3) as well as for SU(4) and SU(5). The real-time evolution of instabilities for a plasma with ... More

The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasmaMar 26 2009Jun 02 2009We determine viscosity corrections to the retarded, advanced and symmetric gluon self energies and to the static propagator in the weak-coupling "hard loop" approximation to high-temperature QCD. We apply these results to calculate the imaginary part ... More

Two-loop HTL pressure at finite temperature and chemical potentialDec 08 2012May 08 2013We calculate the two-loop pressure of a plasma of quarks and gluons at finite temperature and chemical potential using the hard thermal loop perturbation theory (HTLpt) reorganization of finite temperature/density quantum chromodynamics. The computation ... More

Anisotropic hydrodynamics for Au-Au collisions at 200 GeVNov 05 2018In this proceedings, we review the basics of quasiparticle anisotropic hydrodynamics (aHydroQP). Thenwe present phenomenological comparisons between 3+1d quasiparticle anisotropic hydrodynamics and experimental data from RHIC experiments at 200 GeV Au-Au ... More

Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisionsJul 11 2018We compare phenomenological results from 3+1d quasiparticle anisotropic hydrodynamics (aHydroQP) with experimental data collected in RHIC 200 GeV Au-Au collisions. We present comparisons of identified particle spectra in different centrality clases, charged ... More

Second-order (2+1)-dimensional anisotropic hydrodynamicsNov 26 2013Sep 19 2014We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function from the spheroidal ... More

Optimization of Renormalization Group FlowMay 27 1999Renormalization group flow equations for scalar lambda Phi^4 are generated using three classes of smooth smearing functions. Numerical results for the critical exponent nu in three dimensions are calculated by means of a truncated series expansion of ... More

Massively parallel simulations of relativistic fluid dynamics on graphics processing units with CUDAAug 23 2016Relativistic fluid dynamics is a major component in dynamical simulations of the quark-gluon plasma created in relativistic heavy-ion collisions. Simulations of the full three-dimensional dissipative dynamics of the quark-gluon plasma with fluctuating ... More

Three-loop HTL gluon thermodynamics at intermediate couplingMay 10 2010Sep 15 2010We calculate the thermodynamic functions of pure-glue QCD to three-loop order using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature quantum field theory. We show that at three-loop order hard-thermal-loop perturbation ... More

Two-loop HTL Thermodynamics with QuarksFeb 10 2003We calculate the quark contribution to the free energy of a hot quark-gluon plasma to two-loop order using hard-thermal-loop (HTL) perturbation theory. All ultraviolet divergences can be absorbed into renormalizations of the vacuum energy and the HTL ... More

Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon PlasmaMay 14 1999Aug 27 1999We calculate the thermodynamic functions of a hot gluon plasma to leading order in hard-thermal-loop (HTL) perturbation theory. Effects associated with screening, gluon quasiparticles, and Landau damping are resummed to all orders. The ultraviolet divergences ... More

Hard-Loop Effective Action for Anisotropic PlasmasMar 24 2004Aug 18 2004We generalize the hard-thermal-loop effective action of the equilibrium quark-gluon plasma to a non-equilibrium system which is space-time homogeneous but for which the parton momentum distribution is anisotropic. We show that the manifestly gauge-invariant ... More

The heavy-quark potential in an anisotropic plasmaNov 29 2007Mar 06 2008We determine the hard-loop resummed propagator in an anisotropic QCD plasma in general covariant gauges and define a potential between heavy quarks from the Fourier transform of its static limit. We find that there is stronger attraction on distance scales ... More

Quark self-energy in an ellipsoidally anisotropic quark-gluon plasmaAug 22 2016We calculate the quark self-energy in a quark-gluon plasma that possesses an ellipsoidal momentum-space anisotropy in the local rest frame. By introducing additional transverse momentum anisotropy parameters into the parton distribution functions, we ... More

Chromoelectric oscillations in a dynamically evolving anisotropic backgroundJul 02 2012We study the oscillations of a uniform longitudinal chromoelectric field in a dynamically-evolving momentum-space anisotropic background in the weak field limit. Evolution equations for the background are derived by taking moments of the Boltzmann equation ... More

Quasiparticle equation of state for anisotropic hydrodynamicsSep 09 2015Nov 27 2015We present a new method for imposing a realistic equation of state in anisotropic hydrodynamics. The method relies on the introduction of a single finite-temperature quasiparticle mass which is fit to lattice data. By taking moments of the Boltzmann equation, ... More

Quark Number Susceptibilities from Two-Loop Hard Thermal Loop Perturbation TheoryFeb 13 2013Jun 25 2013We use the recently obtained two-loop hard thermal loop perturbation theory thermodynamics functions of a plasma of quarks and gluons to compute the diagonal second- and fourth-order quark number susceptibilities. The two-loop hard thermal loop perturbation ... More

Boost-Invariant (2+1)-dimensional Anisotropic HydrodynamicsApr 06 2012Jun 19 2012We present results of the application of the anisotropic hydrodynamics (aHydro) framework to (2+1)-dimensional boost invariant systems. The necessary aHydro dynamical equations are derived by taking moments of the Boltzmann equation using a momentum-space ... More

Bulk Properties of a Fermi Gas in a Magnetic FieldSep 14 2012May 24 2013We calculate the number density, energy density, transverse pressure, longitudinal pressure, and magnetization of an ensemble of spin one-half particles in the presence of a homogenous background magnetic field. The magnetic field direction breaks spherical ... More

Anisotropic hydrodynamics for conformal Gubser flowOct 24 2014Oct 30 2014We derive the equations of motion for a system undergoing boost-invariant longitudinal and azimuthally-symmetric transverse "Gubser flow" using leading-order anisotropic hydrodynamics. This is accomplished by assuming that the one-particle distribution ... More

Ultraviolet avalanche in anisotropic non-Abelian plasmasApr 18 2006Jan 12 2007We present solutions of coupled particle-field evolution in classical U(1) and SU(2) gauge theories in real time on three-dimensional lattices. For strongly anisotropic particle momentum distributions, we find qualitatively different behavior for the ... More