Vortex Ring Dyons of the SU(2) Yang-Mills-Higgs Model

Journal Article · Wed Mar 30 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3573720· OSTI ID:21511532

Lim, Kok-Geng; Teh, Rosy; Wong, Khai-Ming ^[1]

---

1. School of Physics, Universiti Sains Malaysia 11800 USM Penang (Malaysia)

We present an axially symmetric vortex ring dyons solutions of the SU(2) Yang-Mills-Higgs theory. These vortex rings carry electric charges that are determined by a parameter, -1{<=}{eta}{<=}1. They possess vanishing magnetic charge and are located at a ring centered around the z-axis where the Higgs field vanishes. These stationary vortex ring dyon solutions possess finite energy but they do not satisfy the first order Bogomol'nyi equations. In the Bogomol'nyi-Prasad-Sommerfield (BPS) limit where the Higgs field potential is zero, the time component of the gauge field is parallel to the Higgs field in isospace. The total energy, net electric charge and diameter of the vortex ring increase exponentially to infinity when {eta} approaches {+-}1. On the contrary, when {lambda} = 1, all these three values reach their critical value as {eta} approaches {+-}1.

• OSTI ID: 21511532
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1328; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL SYMMETRY
BOSONS
DYONS
ELECTRIC CHARGES
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
HIGGS BOSONS
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
RINGS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
YANG-MILLS THEORY