## Details

Originalsprache | Englisch |
---|---|

Aufsatznummer | 1054 |

Fachzeitschrift | Symmetry |

Jahrgang | 15 |

Ausgabenummer | 5 |

Publikationsstatus | Veröffentlicht - 9 Mai 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.).

## ASJC Scopus Sachgebiete

- Informatik (insg.)
**Informatik (sonstige)**- Chemie (insg.)
**Chemie (sonstige)****Mathematik (insg.)**- Physik und Astronomie (insg.)
**Physik und Astronomie (sonstige)**

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**Geometric Confinement in Gauge Theories.**/ Popov, Alexander D.

in: Symmetry, Jahrgang 15, Nr. 5, 1054, 09.05.2023.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

*Symmetry*, Jg. 15, Nr. 5, 1054. https://doi.org/10.48550/arXiv.2211.03096, https://doi.org/10.3390/sym15051054

*Symmetry*,

*15*(5), Artikel 1054. https://doi.org/10.48550/arXiv.2211.03096, https://doi.org/10.3390/sym15051054

}

TY - JOUR

T1 - Geometric Confinement in Gauge Theories

AU - Popov, Alexander D.

N1 - Funding Information: This work was supported by the Deutsche Forschungsgemeinschaft grant LE 838/19.

PY - 2023/5/9

Y1 - 2023/5/9

N2 - 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.).

AB - 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.).

KW - confinement

KW - Higgs fields

KW - QCD

KW - Yang-Mills theory

UR - http://www.scopus.com/inward/record.url?scp=85160563872&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2211.03096

DO - 10.48550/arXiv.2211.03096

M3 - Article

AN - SCOPUS:85160563872

VL - 15

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 5

M1 - 1054

ER -