Volume 117, Number 6, March 2017
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||12 May 2017|
The bosonized version of the Schwinger model in four dimensions: A blueprint for confinement?
1 Department of Physics, California State Polytechnic University-Pomona - Pomona, CA 91768, USA
2 Departmento de Física and Centro Científico-Tecnológico de Valparaíso-CCTVal, Universidad Técnica Federico Santa María - Valparaíso, Chile
3 Centro Brasileiro de Pesquisas Físicas (CBPF) - Rio de Janeiro, RJ, Brasil
4 Dipartimento di Fisica Teorica, Università di Trieste and INFN, Sezione di Trieste - Trieste, Italy
Received: 23 February 2017
Accepted: 20 April 2017
For a (3 + 1)-dimensional generalization of the Schwinger model, we compute the interaction energy between two test charges. The result shows that the static potential profile contains a linear term leading to the confinement of probe charges, exactly as in the original model in two dimensions. We further show that the same 4-dimensional model also appears as one version of the B ∧ F models in (3 + 1) dimensions under dualization of Stueckelberg-like massive gauge theories. Interestingly, this particular model is characterized by the mixing between a U(1) potential and an Abelian 3-form field of the type that appears in the topological sector of QCD.
PACS: 14.70.-e – Gauge bosons / 12.60.Cn – Extensions of electroweak gauge sector / 13.40.Gp – Electromagnetic form factors
© EPLA, 2017
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