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Dualities and models in various dimensions

Document type: Articulo

Abstract

Working within the path-integral framework we first establish a duality between the partition functions of two U(1)gauge theories with a theta term in d =4space-time dimensions. Then, after a dimensional reduction to d =3 dimensions we arrive to the partition function of a U(1) gauge theory coupled to a scalar field with an action that exhibits a Dirac monopole solution. A subsequent reduction to d =2 dimensions leads to the partition function of a theory in which the gauge field decouples from two scalars which have non-trivial vortex-like solutions. Finally this d =2 partition function can be related to the bosonized version of the two-dimensional QED2(Schwinger) model.

General information

Issue date: 2021
Document language: English
Journal: Physics Letters B; vol. 821
Origin: Instituto de Física La Plata
ISSN: 0370-2693
xmlui.dri2xhtml.METS-1.0.item-dc-subject: dualities ; partition functions ; dimensional reductions
Subjects: Física

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Created: 14 de noviembre de 2023
Available since: 14 de noviembre de 2023
Please, use one of this identificators(URI) for cite o linking this item:
  • http://sedici.unlp.edu.ar/handle/10915/160104
  • https://doi.org/10.1016/j.physletb.2021.136620

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