$\lambda \phi^{4}$ non equilibrium dynamics and kinetic field theory
Abstract
Off-shellness and inhomogeneities are in the non-equilibrium dynamics of the lambda phi^4 model are studied using the closed timepath formalism reformulated as kinetic field theory. We take into account initial correlations up to the 4-point functions. The model is shown to exhibit a SO(1,1) symmetry broken by interactions and initial conditions. The divergence of the corresponding Noethercurrent is calculated and the Ward-Takahashi relations for the broken symmetry are given. They constitute a set of generalized integrated kinetic equations for the general n-point functions. We demonstrate that energy-momentum conservation follows from the transport equations. As an application we discuss inhomogeneities and general non-equilibrium conditions in the free field model. In our solution we identify the casimir-effect.
Keywords
Cite
@article{arxiv.hep-th/9501025,
title = {$\lambda \phi^{4}$ non equilibrium dynamics and kinetic field theory},
author = {F. M. C. Witte and S. P. Klevansky},
journal= {arXiv preprint arXiv:hep-th/9501025},
year = {2009}
}
Comments
Latex, 30 pages, 10 figures not included pscript files can be obtained from [email protected]