# Glueball masses in (2+1)-dimensional anistropic weakly-coupled Yang-Mills theory

## Abstract

The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the (1+1)-dimensional SU(2)xSU(2) principal chiral sigma model bound in a linear potential, with a specified matching condition where the particles overlap. This matching condition can be determined from the exactly-known S-matrix for the sigma model.

- Authors:

- Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 (United States) and Physics Program, The Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016 (United States) and Department of Natural Sciences, Baruch College, City University of New York, 17 Lexington Avenue, New York, New York 10010 (United States)

- Publication Date:

- OSTI Identifier:
- 20933283

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.101702; (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; ANISOTROPY; CHIRALITY; CONFINEMENT; ELEMENTARY PARTICLES; EXCITATION; GLUEBALLS; MASS; POTENTIALS; S MATRIX; SIGMA MODEL; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; YANG-MILLS THEORY

### Citation Formats

```
Orland, Peter.
```*Glueball masses in (2+1)-dimensional anistropic weakly-coupled Yang-Mills theory*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.101702.

```
Orland, Peter.
```*Glueball masses in (2+1)-dimensional anistropic weakly-coupled Yang-Mills theory*. United States. doi:10.1103/PHYSREVD.75.101702.

```
Orland, Peter. Tue .
"Glueball masses in (2+1)-dimensional anistropic weakly-coupled Yang-Mills theory". United States.
doi:10.1103/PHYSREVD.75.101702.
```

```
@article{osti_20933283,
```

title = {Glueball masses in (2+1)-dimensional anistropic weakly-coupled Yang-Mills theory},

author = {Orland, Peter},

abstractNote = {The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the (1+1)-dimensional SU(2)xSU(2) principal chiral sigma model bound in a linear potential, with a specified matching condition where the particles overlap. This matching condition can be determined from the exactly-known S-matrix for the sigma model.},

doi = {10.1103/PHYSREVD.75.101702},

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

number = 10,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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