Perturbative bosonization from two-point correlation functions

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dc.contributor.authorDalmazi, D. [UNESP]
dc.contributor.authorSouza Dutra, A. [UNESP]
dc.contributor.authorHott, Marcelo [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-29T08:47:12Z
dc.date.available2022-04-29T08:47:12Z
dc.date.issued2003-01-01
dc.description.abstractHere we address the problem of bosonizing massive fermions without making expansions in the fermion masses in both massive [Formula Presented] and [Formula Presented] with N fermion flavors including also a Thirring coupling. We start from two-point correlators involving the [Formula Presented] fermionic current and the gauge field. From the tensor structure of those correlators we prove that the [Formula Presented] current must be identically conserved (topological) in the corresponding bosonized theory in both [Formula Presented] and [Formula Presented] dimensions. We find an effective generating functional in terms of bosonic fields which reproduces these two-point correlators and from that we obtain a map of the Lagrangian density [Formula Presented][Formula Presented] into a bosonic one in both dimensions. This map is nonlocal but it is independent of the electromagnetic and Thirring couplings, at least in the quadratic approximation for the fermionic determinant. © 2003 The American Physical Society.en
dc.description.affiliationUNESP Campus de Guaratinguetá, Av. Dr. Ariberto Pereira da Cunha 333, Guaratinguetá
dc.description.affiliationUnespUNESP Campus de Guaratinguetá, Av. Dr. Ariberto Pereira da Cunha 333, Guaratinguetá
dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.67.125012
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation and Cosmology, v. 67, n. 12, 2003.
dc.identifier.doi10.1103/PhysRevD.67.125012
dc.identifier.issn1550-2368
dc.identifier.issn1550-7998
dc.identifier.scopus2-s2.0-0041627370
dc.identifier.urihttp://hdl.handle.net/11449/231717
dc.language.isoeng
dc.relation.ispartofPhysical Review D - Particles, Fields, Gravitation and Cosmology
dc.sourceScopus
dc.titlePerturbative bosonization from two-point correlation functionsen
dc.typeArtigo

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