Nonequilibrium dynamics: a renormalized computation scheme
Abstract
We present a regularized and renormalized version of the one-loop nonlinear relaxation equations that determine the non-equilibrium time evolution of a classical (constant) field coupled to its quantum fluctuations. We obtain a computational method in which the evaluation of divergent fluctuation integrals and the evaluation of the exact finite parts are cleanly separated so as to allow for a wide freedom in the choice of regularization and renormalization schemes. We use dimensional regularization here. Within the same formalism we analyze also the regularization and renormalization of the energy-momentum tensor. The energy density serves to monitor the reliability of our numerical computation. The method is applied to the simple case of a scalar phi^4 theory; the results are similar to the ones found previously by other groups.
Cite
@article{arxiv.hep-th/9608006,
title = {Nonequilibrium dynamics: a renormalized computation scheme},
author = {Juergen Baacke and Katrin Heitmann and Carsten Patzold},
journal= {arXiv preprint arXiv:hep-th/9608006},
year = {2009}
}
Comments
15 pages, 9 postscript figures, revtex; version published in Phys. Rev, with minor corrections; improves the first version of 1996 by including the discussion of energy momentum tensor