Symbol calculus and zeta--function regularized determinants

dc.creatorKaynak, Burak Tevfik
dc.creatorTurgut, O. Teoman
dc.date2007-07-11
dc.date2007-12-07
dc.date.accessioned2026-07-07T11:17:43Z
dc.date.available2026-07-07T11:17:43Z
dc.descriptionIn this work, we use semigroup integral to evaluate zeta-function regularized determinants. This is especially powerful for non--positive operators such as the Dirac operator. In order to understand fully the quantum effective action one should know not only the potential term but also the leading kinetic term. In this purpose we use the Weyl type of symbol calculus to evaluate the determinant as a derivative expansion. The technique is applied both to a spin--0 bosonic operator and to the Dirac operator coupled to a scalar field.
dc.descriptionAdded references, some typos corrected, published version
dc.identifierhttps://arxiv.org/abs/0707.1576
dc.identifierhttp://arxiv.org/abs/0707.1576
dc.identifierJ.Math.Phys.48:113501,2007
dc.identifierdoi:10.1063/1.2801883
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193102
dc.subjectMathematical Physics
dc.titleSymbol calculus and zeta--function regularized determinants
dc.typetext

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