Geometric Confinement in Gauge Theories

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  • Alexander D. Popov

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Original languageEnglish
Article number1054
JournalSymmetry
Volume15
Issue number5
Publication statusPublished - 9 May 2023

Abstract

In 1978, Friedberg and Lee introduced the phenomenological soliton bag model of hadrons, generalizing the MIT bag model developed in 1974 shortly after the formulation of QCD. In this model, quarks and gluons are confined due to coupling with a real scalar field (Formula presented.), which tends to zero outside some compact region (Formula presented.) determined dynamically from the equations of motion. The gauge coupling in the soliton bag model runs as the inverse power of (Formula presented.), already at the semiclassical level. We show that this model arises naturally as a consequence of introducing the warped product metric (Formula presented.) on the principal G-bundle (Formula presented.) with a non-Abelian group G over Minkowski space (Formula presented.). Confinement of quarks and gluons in a compact domain (Formula presented.) is a consequence of the collapse of the bundle manifold (Formula presented.) to M outside S due to shrinking of the group manifold G to a point. We describe the formation of such regions S as a dynamical process controlled by the order parameter field (Formula presented.).

Keywords

    confinement, Higgs fields, QCD, Yang-Mills theory

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Geometric Confinement in Gauge Theories. / Popov, Alexander D.
In: Symmetry, Vol. 15, No. 5, 1054, 09.05.2023.

Research output: Contribution to journalArticleResearchpeer review

Popov AD. Geometric Confinement in Gauge Theories. Symmetry. 2023 May 9;15(5):1054. doi: 10.48550/arXiv.2211.03096, 10.3390/sym15051054
Popov, Alexander D. / Geometric Confinement in Gauge Theories. In: Symmetry. 2023 ; Vol. 15, No. 5.
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