# Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions

## Abstract

We construct static solutions to a SU(2) Yang-Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which is required by the scaling condition for the existence of finite energy solutions. The basic features of two different types of configurations are studied, corresponding to (multi)solitons with topological charge n{sup 2}, and soliton-antisoliton pairs with zero topological charge.

- Authors:

- Department of Mathematical Physics, National University of Ireland Maynooth (Ireland)
- Institut fuer Physik, Universitaet Oldenburg, Postfach 2503 D-26111 Oldenburg (Germany)
- (Ireland)

- Publication Date:

- OSTI Identifier:
- 21011096

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.045003; (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; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SOLITONS; SU-2 GROUPS; SYMMETRY; TOPOLOGY; YANG-MILLS THEORY

### Citation Formats

```
Radu, Eugen, Shnir, Ya., Tchrakian, D. H., and School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4.
```*Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.045003.

```
Radu, Eugen, Shnir, Ya., Tchrakian, D. H., & School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4.
```*Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions*. United States. doi:10.1103/PHYSREVD.75.045003.

```
Radu, Eugen, Shnir, Ya., Tchrakian, D. H., and School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4. Thu .
"Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions". United States.
doi:10.1103/PHYSREVD.75.045003.
```

```
@article{osti_21011096,
```

title = {Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions},

author = {Radu, Eugen and Shnir, Ya. and Tchrakian, D. H. and School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4},

abstractNote = {We construct static solutions to a SU(2) Yang-Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which is required by the scaling condition for the existence of finite energy solutions. The basic features of two different types of configurations are studied, corresponding to (multi)solitons with topological charge n{sup 2}, and soliton-antisoliton pairs with zero topological charge.},

doi = {10.1103/PHYSREVD.75.045003},

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

number = 4,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}

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