Covariant methods for calculating the low-energy effective action in quantum field theory and quantum gravity

Simple item page
dc.creatorAvramidi, I. G.
dc.date1994-03-18
dc.date.accessioned2026-07-07T03:30:16Z
dc.date.available2026-07-07T03:30:16Z
dc.descriptionWe continue the development of the effective covariant methods for calculating the heat kernel and the one-loop effective action in quantum field theory and quantum gravity. The status of the low-energy approximation in quantum gauge theories and quantum gravity is discussed in detail on the basis of analyzing the local Schwinger - De Witt expansion. It is argued that the low-energy limit, when defined in a covariant way, should be related to background fields with covariantly constant curvature, gauge field strength and potential. Some new approaches for calculating the low-energy heat kernel assuming a covariantly constant background are proposed. The one-loop low-energy effective action in Yang-Mills theory in flat space with arbitrary compact simple gauge group and arbitrary matter on a covariantly constant background is calculated. The stability problem of the chromomagnetic (Savvidy-type) vacuum is analyzed. It is shown, that this type of vacuum structure can be stable only in the case when more than one background chromomagnetic fields are present and the values of these fields differ not greatly from each other.This is possible only in space-times of dimension not less than five $d\geq 5$.
dc.description48 pages, plain TeX, University of Greifswald, EMA-MAT-1994-2
dc.identifierhttps://arxiv.org/abs/gr-qc/9403036
dc.identifierhttp://arxiv.org/abs/gr-qc/9403036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35485
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleCovariant methods for calculating the low-energy effective action in quantum field theory and quantum gravity
dc.typetext

Files

Collections

arXiv