Effective theory for real-time dynamics in hot gauge theories

Abstract

For a high temperature non-Abelian plasma, we reformulate the hard thermal loop approximation as an effective classical thermal field theory for the soft modes. The effective theory is written in local Hamiltonian form, and the thermal partition function is explicitly constructed. It involves an ultraviolet cutoff which separates between hard and soft degrees of freedom in a gauge-invariant way, together with counterterms which cancel the cutoff dependence in the soft correlation functions. The effective theory is well suited for numerical studies of the non-perturbative dynamics in real time, in particular, for the computation of the baryon number violation rate at high temperature.

11 pages, LaTeX, major rewriting, new title, new references

References in corpus (4)

• Hot B violation, the lattice, and hard thermal loops
• The Bloch-Nordsieck propagator at finite temperature
• Lattice Chern-Simons Number Without Ultraviolet Problems
• Improved determination of the classical sphaleron transition rate

Cited by in corpus (20)

• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Advances in perturbative thermal field theory
• The Fate of Non-Abelian Plasma Instabilities in 3+1 Dimensions
• QCD Plasma Instabilities: The Nonabelian Cascade
• A Boltzmann Equation for the QCD Plasma
• The Abelianization of QCD Plasma Instabilities
• First-order electroweak phase transitions: a nonperturbative update
• The Sphaleron Rate: Bodeker's Leading Log
• Ultrasoft Amplitudes in Hot QCD
• Minding one's P's and Q's : from the one loop effective action in quantum field theory to classical transport theory
• Non-perturbative dynamics of hot non-Abelian gauge fields: beyond leading log approximation
• Controlling One-Dimensional Langevin Dynamics on the Lattice
• Simulating hot Abelian gauge dynamics
• Divergences in Real-Time Classical Field Theories at Non-Zero Temperature
• The Boltzmann Equation in Classical Yang-Mills Theory
• Real-Time Nucleation and Off-Equilibrium Effects in High-Temperature Quantum Field Theories
• Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature
• Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids
• Effective Classical Theory for Real-Time SU(N) Gauge Theories at High Temperature
• Abelian hard thermal loops on a lattice