Classical Lattice Gauge Fields with Hard Thermal Loops

Abstract

We propose a formulation of the long-distance dynamics of gauge theories at finite temperature on a lattice in Minkowski space, including the effects of hard thermal loops on the dynamics of the long wavelength modes. Our approach is based on the dual classical limits of quantum fields as waves and particles in the infrared and ultraviolet limits, respectively. It exhibits manifest invariance under space-dependent lattice gauge transformations and conserves Gauss' law.

11 pages, plain latex file, with major revisions to include details on the algorithm

References in corpus (11)

• Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
• Kinetic Equations for Longwavelength Excitations of the Quark-Gluon Plasma
• Classical Fields Near Thermal Equilibrium
• Deriving the Hard Thermal Loops of QCD from Classical Transport Theory
• The classical sphaleron transition rate exists and is equal to $1.1({\alpha }_{w}T{)}^4$
• Really Computing Non-perturbative Real Time Correlation Functions
• Color Diffusion and Conductivity in a Quark-Gluon Plasma
• The Secret Chern-Simons Action for the Hot Gluon Plasma
• Hamiltonian Dynamics of Yang-Mills Fields on a Lattice
• Improved Hamiltonian for Minkowski Yang-Mills Theory
• Relaxation and Kinetics in Scalar Field Theories

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• A Boltzmann Equation for the QCD Plasma
• Electroweak Bubble Nucleation, Nonperturbatively
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• First-order electroweak phase transitions: a nonperturbative update
• Color Instabilities in the Quark-Gluon Plasma
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• The Sphaleron Rate: Bodeker's Leading Log
• Broken boost invariance in the Glasma via finite nuclei thickness
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• Simulating collisions of thick nuclei in the color glass condensate framework
• Minding one's P's and Q's : from the one loop effective action in quantum field theory to classical transport theory
• Turbulent pattern formation and diffusion in the early-time dynamics in the relativistic heavy-ion collision
• Transverse momentum diffusion and jet energy loss in non-Abelian plasmas
• Effective theory for real-time dynamics in hot gauge theories
• Effective dynamics of a nonabelian plasma out of equilibrium
• Simulating hot Abelian gauge dynamics
• Progress on 3+1D Glasma simulations
• Divergences in Real-Time Classical Field Theories at Non-Zero Temperature
• Numerical study of plasmon properties in the SU(2)-Higgs model
• Lattice Gauge Description of Colliding Nuclei
• Non-equilibrium field theory
• Isotropization by QCD Plasma Instabilities
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• Numerical Simulation of Non-Abelian Particle-Field Dynamics
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• Quark Matter 2005: Experimental Conference Summary
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• Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature
• Jet evolution in Yang-Mills-Wong simulations
• Real Time Simulations in Lattice Gauge Theory
• Spectral function for overoccupied gluodynamics from classical lattice simulations
• Effective Classical Theory for Real-Time SU(N) Gauge Theories at High Temperature
• Abelian hard thermal loops on a lattice