Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology

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dc.creatorCalzetta, Esteban A.
dc.creatorHu, Bei Lok
dc.creatorMazzitelli, Francisco D.
dc.date2001-02-27
dc.date.accessioned2026-07-07T11:31:52Z
dc.date.available2026-07-07T11:31:52Z
dc.descriptionIn this report we introduce the basic techniques (of the Closed Time Path - Coarse Grained Effective Action CTP-CGEA) and ideas (scaling, coarse-graining and backreaction) behind the treatment of quantum processes in dynamical background spacetimes and fields. We show how they are useful for the construction of renormalization group (RG) theories for studying these nonequilibrium processes and discuss the underlying issues. Examples are drawn from quantum field processes in an inflationary universe, semiclassical cosmology and stochastic gravity. In Part I we show how eternal inflation can be treated as static critical phenomena, while a `slow-roll' or power-law inflation can be treated as dynamical critical phenomena. In Part II we introduce the key concepts in open systems and discuss the relation of coarse-graining and backreaction. In Part III we present the CTP - CGEA. We perform perturbative and nonperturbative evaluations, and show how to derive RG equations. In Part IV, we use the RG equations to derive the Einstein-Langevin equation in stochastic semiclassical gravity. We end with a discussion on why a stochastic component of RG equations is expected for nonequilibrium processes
dc.description47 pages, 2 Figs, Latex. To appear in Physics Reports - Proceedings of RG2000, Taxco, 1999
dc.identifierhttps://arxiv.org/abs/hep-th/0102199
dc.identifierhttp://arxiv.org/abs/hep-th/0102199
dc.identifierPhys.Rept.352:459-520,2001
dc.identifierdoi:10.1016/S0370-1573(01)00043-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197411
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCoarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology
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