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.

The bosonized version of the Schwinger model in four dimensions: A blueprint for confinement?

SPALLUCCI, EURO
2017-01-01

Abstract

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.
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http://iopscience.iop.org/article/10.1209/0295-5075/117/61001/pdf
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2904619
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