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arXiv · hep-th/9501025

$λϕ^{4}$ non equilibrium dynamics and kinetic field theory

F. M. C. Witte·S. P. Klevansky
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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.

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F. M. C. Witte, S. P. Klevansky. 1995-01-10. $λϕ^{4}$ non equilibrium dynamics and kinetic field theory. https://arxiv.org/abs/hep-th/9501025

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