# Wilson line in finite-temperature gauge theories

## Abstract

The phases of SU(N) gauge theories at finite temperature can be analyzed in terms of the Wilson line L(x) = TrP exp(ig..integral../sub 0//sup ..beta../A/sub 0/(x,tau)dtau). The question of confinement is related to the spontaneous breakdown of a Z(N) symmetry: not =0 corresponds to symmetry breaking and deconfinement, = 0 implies symmetry restoration and confinement. A previous calculation of the one-loop effective potential for L is discussed in SU(N) theories, both with and without fermions. A possible mechanism for the confining-deconfining transition in terms of the formation of ''Z(N) bubbles'' is discussed. For SU(2) theories, the Z(2) bubbles are simply finite-temperature instantons. However, Z(N) bubbles are not finite-temperature instantons for SU(N). It is shown that a bag picture of hadronic structure similar to that of Callan, Dashen, and Gross may emerge from this picture.

- Authors:

- Publication Date:

- Research Org.:
- Department of Physics, University of British Columbia, Vancouver, British Columbia V6T 2A6, Canada

- OSTI Identifier:
- 5494275

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. D; (United States)

- Additional Journal Information:
- Journal Volume: 25:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; SU GROUPS; TEMPERATURE DEPENDENCE; BOUNDARY CONDITIONS; INSTANTONS; LATTICE FIELD THEORY; PARTITION FUNCTIONS; SYMMETRY BREAKING; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; QUANTUM FIELD THEORY; QUASI PARTICLES; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory; 645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)

### Citation Formats

```
Weiss, N.
```*Wilson line in finite-temperature gauge theories*. United States: N. p., 1982.
Web. doi:10.1103/PhysRevD.25.2667.

```
Weiss, N.
```*Wilson line in finite-temperature gauge theories*. United States. https://doi.org/10.1103/PhysRevD.25.2667

```
Weiss, N. Sat .
"Wilson line in finite-temperature gauge theories". United States. https://doi.org/10.1103/PhysRevD.25.2667.
```

```
@article{osti_5494275,
```

title = {Wilson line in finite-temperature gauge theories},

author = {Weiss, N},

abstractNote = {The phases of SU(N) gauge theories at finite temperature can be analyzed in terms of the Wilson line L(x) = TrP exp(ig..integral../sub 0//sup ..beta../A/sub 0/(x,tau)dtau). The question of confinement is related to the spontaneous breakdown of a Z(N) symmetry: not =0 corresponds to symmetry breaking and deconfinement, = 0 implies symmetry restoration and confinement. A previous calculation of the one-loop effective potential for L is discussed in SU(N) theories, both with and without fermions. A possible mechanism for the confining-deconfining transition in terms of the formation of ''Z(N) bubbles'' is discussed. For SU(2) theories, the Z(2) bubbles are simply finite-temperature instantons. However, Z(N) bubbles are not finite-temperature instantons for SU(N). It is shown that a bag picture of hadronic structure similar to that of Callan, Dashen, and Gross may emerge from this picture.},

doi = {10.1103/PhysRevD.25.2667},

url = {https://www.osti.gov/biblio/5494275},
journal = {Phys. Rev. D; (United States)},

number = ,

volume = 25:10,

place = {United States},

year = {1982},

month = {5}

}