### Abstract

We consider the Wilson loop expectation in SU(2) lattice gauge theory in the presence of constraints. The constraints eliminate gauge field configurations, which, in physical terms, allow the presence of thick center vortices linking with the loop. We prove that, for dimension d ≥ 3, the so-constrained Wilson loop follows perimeter law, i.e., nonconfining behavior, at weak coupling (low temperature).

Original language | English |
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Pages (from-to) | 4677-4687 |

Number of pages | 11 |

Journal | Journal of Mathematical Physics |

Volume | 40 |

Issue number | 10 |

Publication status | Published - Oct 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Mathematical Physics*,

*40*(10), 4677-4687.

**Absence of confinement in the absence of vortices.** / Kovács, T.; Tomboulis, E. T.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 40, no. 10, pp. 4677-4687.

}

TY - JOUR

T1 - Absence of confinement in the absence of vortices

AU - Kovács, T.

AU - Tomboulis, E. T.

PY - 1999/10

Y1 - 1999/10

N2 - We consider the Wilson loop expectation in SU(2) lattice gauge theory in the presence of constraints. The constraints eliminate gauge field configurations, which, in physical terms, allow the presence of thick center vortices linking with the loop. We prove that, for dimension d ≥ 3, the so-constrained Wilson loop follows perimeter law, i.e., nonconfining behavior, at weak coupling (low temperature).

AB - We consider the Wilson loop expectation in SU(2) lattice gauge theory in the presence of constraints. The constraints eliminate gauge field configurations, which, in physical terms, allow the presence of thick center vortices linking with the loop. We prove that, for dimension d ≥ 3, the so-constrained Wilson loop follows perimeter law, i.e., nonconfining behavior, at weak coupling (low temperature).

UR - http://www.scopus.com/inward/record.url?scp=0033240827&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033240827&partnerID=8YFLogxK

M3 - Article

VL - 40

SP - 4677

EP - 4687

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

ER -