# Gauge equivalence of two different IAnsaaumlItze Rfor non-Abelian charged vortices

## Abstract

Recently the existence of non-Abelian charged vortices has been established by taking two different Ansa$uml: tze in SU(2) gauge theories. We point out that these two Ansa$uml: tze are in two topologically equivalent prescriptions. We show that they are gauge equivalent only at infinity. We also show that this gauge equivalence is not possible for Z/sub N/ vortices in SU(N) gauge theories for Ngreater than or equal to3.

- Authors:

- Publication Date:

- Research Org.:
- Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India

- OSTI Identifier:
- 6478532

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys. Rev. D; (United States); Journal Volume: 35:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; GAUGE INVARIANCE; BOUNDARY CONDITIONS; LAGRANGIAN FUNCTION; SU GROUPS; TOPOLOGY; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICS; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory; 645300 - High Energy Physics- Particle Invariance Principles & Symmetries

### Citation Formats

```
Paul, S.K.
```*Gauge equivalence of two different IAnsaaumlItze Rfor non-Abelian charged vortices*. United States: N. p., 1987.
Web. doi:10.1103/PhysRevD.35.3280.

```
Paul, S.K.
```*Gauge equivalence of two different IAnsaaumlItze Rfor non-Abelian charged vortices*. United States. doi:10.1103/PhysRevD.35.3280.

```
Paul, S.K. Fri .
"Gauge equivalence of two different IAnsaaumlItze Rfor non-Abelian charged vortices". United States. doi:10.1103/PhysRevD.35.3280.
```

```
@article{osti_6478532,
```

title = {Gauge equivalence of two different IAnsaaumlItze Rfor non-Abelian charged vortices},

author = {Paul, S.K.},

abstractNote = {Recently the existence of non-Abelian charged vortices has been established by taking two different Ansa$uml: tze in SU(2) gauge theories. We point out that these two Ansa$uml: tze are in two topologically equivalent prescriptions. We show that they are gauge equivalent only at infinity. We also show that this gauge equivalence is not possible for Z/sub N/ vortices in SU(N) gauge theories for Ngreater than or equal to3.},

doi = {10.1103/PhysRevD.35.3280},

journal = {Phys. Rev. D; (United States)},

number = ,

volume = 35:10,

place = {United States},

year = {Fri May 15 00:00:00 EDT 1987},

month = {Fri May 15 00:00:00 EDT 1987}

}

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