Non-Equilibrium Quantum Fields in the Large N Expansion

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dc.creatorCooper, Fred
dc.creatorHabib, Salman
dc.creatorKluger, Yuval
dc.creatorMottola, Emil
dc.creatorPaz, Juan Pablo
dc.creatorAnderson, Paul R.
dc.date1994-05-23
dc.date.accessioned2026-07-07T11:35:07Z
dc.date.available2026-07-07T11:35:07Z
dc.descriptionAn effective action technique for the time evolution of a closed system consisting of one or more mean fields interacting with their quantum fluctuations is presented. By marrying large $N$ expansion methods to the Schwinger-Keldysh closed time path (CTP) formulation of the quantum effective action, causality of the resulting equations of motion is ensured and a systematic, energy conserving and gauge invariant expansion about the quasi-classical mean field(s) in powers of $1/N$ developed. The general method is exposed in two specific examples, $O(N)$ symmetric scalar $ł\F^4$ theory and Quantum Electrodynamics (QED) with $N$ fermion fields. The $ł\F^4$ case is well suited to the numerical study of the real time dynamics of phase transitions characterized by a scalar order parameter. In QED the technique may be used to study the quantum non-equilibrium effects of pair creation in strong electric fields and the scattering and transport processes in a relativistic $e^+e^-$ plasma. A simple renormalization scheme that makes practical the numerical solution of the equations of motion of these and other field theories is described.
dc.description43 pages, LA-UR-94-783 (PRD, in press), uuencoded PostScript
dc.identifierhttps://arxiv.org/abs/hep-ph/9405352
dc.identifierhttp://arxiv.org/abs/hep-ph/9405352
dc.identifierPhys.Rev.D50:2848-2869,1994
dc.identifierdoi:10.1103/PhysRevD.50.2848
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198483
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Equilibrium Quantum Fields in the Large N Expansion
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