# Center Flux Correlation in SU(2) Yang-Mills Theory

## Abstract

By using the method of center projection, the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of nontrivial center links bounded by the closed 2-dimensional center vortex surfaces. The center field propagator is found to dominate the gluon propagator (in the Landau gauge) in the low momentum regime and to give rise to a power-law correction {proportional_to}p{sup -2.9(1)} at high momentum. The screening mass of the center vortex field vanishes above the critical temperature of the deconfinement phase transition, which naturally explains the second order nature of this transition consistent with the vortex picture. Finally, the ghost propagator of the maximal center gauge is found to be infrared finite and, thus, shows that the coset fields play no role for confinement.

- Authors:

- Institut fuer Theoretische Physik, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)

- Publication Date:

- OSTI Identifier:
- 20699600

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 95; Journal Issue: 22; Other Information: DOI: 10.1103/PhysRevLett.95.221601; (c) 2005 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; CORRECTIONS; CORRELATIONS; CRITICAL TEMPERATURE; GLUONS; PHASE TRANSFORMATIONS; PROPAGATOR; QUANTUM CHROMODYNAMICS; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; VORTICES; YANG-MILLS THEORY

### Citation Formats

```
Langfeld, K., Schulze, G., and Reinhardt, H..
```*Center Flux Correlation in SU(2) Yang-Mills Theory*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevLett.95.221601.

```
Langfeld, K., Schulze, G., & Reinhardt, H..
```*Center Flux Correlation in SU(2) Yang-Mills Theory*. United States. doi:10.1103/PhysRevLett.95.221601.

```
Langfeld, K., Schulze, G., and Reinhardt, H.. Fri .
"Center Flux Correlation in SU(2) Yang-Mills Theory". United States.
doi:10.1103/PhysRevLett.95.221601.
```

```
@article{osti_20699600,
```

title = {Center Flux Correlation in SU(2) Yang-Mills Theory},

author = {Langfeld, K. and Schulze, G. and Reinhardt, H.},

abstractNote = {By using the method of center projection, the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of nontrivial center links bounded by the closed 2-dimensional center vortex surfaces. The center field propagator is found to dominate the gluon propagator (in the Landau gauge) in the low momentum regime and to give rise to a power-law correction {proportional_to}p{sup -2.9(1)} at high momentum. The screening mass of the center vortex field vanishes above the critical temperature of the deconfinement phase transition, which naturally explains the second order nature of this transition consistent with the vortex picture. Finally, the ghost propagator of the maximal center gauge is found to be infrared finite and, thus, shows that the coset fields play no role for confinement.},

doi = {10.1103/PhysRevLett.95.221601},

journal = {Physical Review Letters},

number = 22,

volume = 95,

place = {United States},

year = {Fri Nov 25 00:00:00 EST 2005},

month = {Fri Nov 25 00:00:00 EST 2005}

}