Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach

Cooper, Fred ; Khare, Avinash ; Rose, Harvey (2001) Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach Physics Letters B, 515 (3-4). pp. 463-469. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03702...

Related URL: http://dx.doi.org/10.1016/S0370-2693(01)00872-3

Abstract

We rewrite the Martin-Siggia-Rose (MSR) formalism for the statistical dynamics of classical fields in a covariant second order form appropriate for the statistical dynamics of relativistic field theory. This second order formalism is related to a rotation of Schwinger's closed time path (CTP) formalism for quantum dynamics, with the main difference being that certain vertices are absent in the classical theory. These vertices are higher order in an h expansion. The structure of the second order formulation of the Schwinger-Dyson (S-D) equations is identical to that of the rotated CTP formalism apart from initial conditions on the Green's functions and the absence of these vertices. We then discuss self-consistent truncation schemes based on keeping certain graphs in the two-particle irreducible effective action made up of bare vertices and exact Green's functions.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:17735
Deposited On:16 Nov 2010 12:46
Last Modified:17 May 2016 02:21

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