The Axially Symmetric One-Monopole

Journal Article · Tue Jul 07 04:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3192284· OSTI ID:21344271

Wong, K -M; Teh, Rosy ^[1]

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

We present new classical generalized one-monopole solution of the SU(2) Yang-Mills-Higgs theory with the Higgs field in the adjoint representation. We show that this solution with theta-winding number m = 1 and phi-winding number n = 1 is an axially symmetric generalization of the 't Hooft-Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solutions of the 't Hooft-Polyakov one-monopole to the Jacobi elliptic functions and solving the second order equations of motion numerically when the Higgs potential is vanishing. This solution is a non-BPS solution.

• OSTI ID: 21344271
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1150; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
AXIAL SYMMETRY
BOSONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
HIGGS BOSONS
HIGGS MODEL
JACOBIAN FUNCTION
LAGRANGIAN FIELD THEORY
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY