Dynamical symmetry breaking in spaces with a constant negative curvature

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dc.contributor.authorGorbar, E. V.
dc.contributor.institutionInstituto de Fisica Teorica
dc.date.accessioned2022-04-29T08:42:57Z
dc.date.available2022-04-29T08:42:57Z
dc.date.issued2000-01-01
dc.description.abstractBy using the Nambu–Jona-Lasinio model, we study dynamical symmetry breaking in spaces with a constant negative curvature. We show that the physical reason for the zero value of the critical coupling constant (Formula presented) in these spaces is connected with the effective reduction of the dimension of spacetime (Formula presented) for fermions in the infrared region, which takes place for any dimension (Formula presented) Since the Laplace-Beltrami operator has a gap in spaces with a constant negative curvature, such an effective reduction for scalar fields is absent and there are no problems with radiative corrections due to scalar fields. Therefore, dynamical symmetry breaking with the effective reduction of the dimension of spacetime for fermions in the infrared region is consistent with the Mermin-Wagner-Coleman theorem, which forbids spontaneous symmetry breaking in (Formula presented)-dimensional spacetime. © 1999 The American Physical Society.en
dc.description.affiliationInstituto de Fisica Teorica, Sao Paulo, 01405-900
dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.61.024013
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation and Cosmology, v. 61, n. 2, 2000.
dc.identifier.doi10.1103/PhysRevD.61.024013
dc.identifier.issn1550-2368
dc.identifier.issn1550-7998
dc.identifier.scopus2-s2.0-17044399368
dc.identifier.urihttp://hdl.handle.net/11449/230978
dc.language.isoeng
dc.relation.ispartofPhysical Review D - Particles, Fields, Gravitation and Cosmology
dc.sourceScopus
dc.titleDynamical symmetry breaking in spaces with a constant negative curvatureen
dc.typeArtigo

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