# Classes of confining gauge field configurations

## Abstract

We present a numerical method to compute path integrals in effective SU(2) Yang-Mills theories. The basic idea is to approximate the Yang-Mills path integral by summing over all gauge field configurations, which can be represented as a linear superposition of a small number of localized building blocks. With a suitable choice of building blocks many essential features of SU(2) Yang-Mills theory can be reproduced, particularly confinement. The analysis of our results leads to the conclusion that topological charge as well as extended structures are essential elements of confining gauge field configurations.

- Authors:

- Institute for Theoretical Physics III, University of Erlangen-Nuernberg, Staudtstrasse 7, 91058 Erlangen (Germany)

- Publication Date:

- OSTI Identifier:
- 20933259

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.016004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; NUMERICAL ANALYSIS; PATH INTEGRALS; QUANTUM FIELD THEORY; SU-2 GROUPS; TOPOLOGY; YANG-MILLS THEORY

### Citation Formats

```
Wagner, Marc.
```*Classes of confining gauge field configurations*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.016004.

```
Wagner, Marc.
```*Classes of confining gauge field configurations*. United States. doi:10.1103/PHYSREVD.75.016004.

```
Wagner, Marc. Mon .
"Classes of confining gauge field configurations". United States.
doi:10.1103/PHYSREVD.75.016004.
```

```
@article{osti_20933259,
```

title = {Classes of confining gauge field configurations},

author = {Wagner, Marc},

abstractNote = {We present a numerical method to compute path integrals in effective SU(2) Yang-Mills theories. The basic idea is to approximate the Yang-Mills path integral by summing over all gauge field configurations, which can be represented as a linear superposition of a small number of localized building blocks. With a suitable choice of building blocks many essential features of SU(2) Yang-Mills theory can be reproduced, particularly confinement. The analysis of our results leads to the conclusion that topological charge as well as extended structures are essential elements of confining gauge field configurations.},

doi = {10.1103/PHYSREVD.75.016004},

journal = {Physical Review. D, Particles Fields},

number = 1,

volume = 75,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}

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