Skyrme-Maxwell solitons in 2+1 dimensions

J. Gladikowski; B. M. A. G. Piette; Bernd Johannes Schroers

doi:10.1103/PhysRevD.53.844

Skyrme-Maxwell solitons in 2+1 dimensions

J. Gladikowski, B. M. A. G. Piette, Bernd Johannes Schroers

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51 Citations (Scopus)

Abstract

A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is U(1) and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton solutions carrying magnetic flux which is not topologically quantized. The properties of static, rotationally symmetric solitons of degree one and two are discussed in detail. It is shown that the electric field of such solutions is necessarily zero. The solitons' shape, mass, and magnetic flux depend on the U(1) coupling constant, and this dependence is studied numerically from very weak to very strong coupling.

Original language	English
Pages (from-to)	844-851
Number of pages	8
Journal	Physical Review D - Particles and Fields
Volume	53
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.53.844
Publication status	Published - 15 Jan 1996

Keywords

CURRENT-ALGEBRA
MODEL

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abstract = "A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is U(1) and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton solutions carrying magnetic flux which is not topologically quantized. The properties of static, rotationally symmetric solitons of degree one and two are discussed in detail. It is shown that the electric field of such solutions is necessarily zero. The solitons' shape, mass, and magnetic flux depend on the U(1) coupling constant, and this dependence is studied numerically from very weak to very strong coupling.",

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AU - Gladikowski, J.

AU - Piette, B. M. A. G.

AU - Schroers, Bernd Johannes

PY - 1996/1/15

Y1 - 1996/1/15

N2 - A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is U(1) and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton solutions carrying magnetic flux which is not topologically quantized. The properties of static, rotationally symmetric solitons of degree one and two are discussed in detail. It is shown that the electric field of such solutions is necessarily zero. The solitons' shape, mass, and magnetic flux depend on the U(1) coupling constant, and this dependence is studied numerically from very weak to very strong coupling.

AB - A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is U(1) and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton solutions carrying magnetic flux which is not topologically quantized. The properties of static, rotationally symmetric solitons of degree one and two are discussed in detail. It is shown that the electric field of such solutions is necessarily zero. The solitons' shape, mass, and magnetic flux depend on the U(1) coupling constant, and this dependence is studied numerically from very weak to very strong coupling.

KW - CURRENT-ALGEBRA

KW - MODEL

U2 - 10.1103/PhysRevD.53.844

DO - 10.1103/PhysRevD.53.844

M3 - Article

VL - 53

SP - 844

EP - 851

JO - Physical Review D - Particles and Fields

JF - Physical Review D - Particles and Fields

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