Thermalization algorithms for classical gauge theories

Abstract

I propose a method, based on a set of Langevin equations, for bringing classical gauge theories to thermal equilibrium while respecting the set of Gauss' constraints exactly. The algorithm is described in detail for the SU(2) gauge theory with or without the Higgs doublet. As an example of application, canonical average of the maximal Lyapunov exponent is computed for the SU(2) Yang-Mills theory.

20 pages, plain LaTeX, figures part of the LaTeX source

References in corpus (6)

• Really Computing Non-perturbative Real Time Correlation Functions
• Hamiltonian Dynamics of Yang-Mills Fields on a Lattice
• Lyapunov Exponent and Plasmon Damping Rate in Nonabelian Gauge Theories
• Lyapunov Spectra in SU(2) Lattice Gauge Theory
• Chern-Simons number diffusion in (1+1)-dimensional Higgs theory
• Sphaleron transitions in a realistic heat bath

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