One Monopole-Antimonopole Pair Solutions

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

DOI:https://doi.org/10.1063/1.3192222· OSTI ID:21344241

Teh, Rosy; Wong, K -M ^[1]

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

We present new classical generalized one monopole-antimonopole pair solutions of the SU(2) Yang-Mills-Higgs theory with the Higgs field in the adjoint representation. We show that in general the one monopole-antimonopole solution need not be solved by imposing mtheta-winding number to be integer greater than one. We also show that this solution can be solved when m = 1 by transforming the large distance asymptotic solutions to general solutions that depend on a parameter p. Secondly we show that these large distance asymptotic solutions can be further generalized to the Jacobi elliptic functions. We focus our numerical calculation on the Jacobi elliptic functions solution when the nphi-winding number is one and show that this generalized Jacobi elliptic 1-MAP solution possesses lower energy. All these solutions are numerical finite energy non-BPS solutions of the Yang-Mills-Higgs field theory.

• OSTI ID: 21344241
• Journal Information: AIP Conference Proceedings, Vol. 1150, Issue 1; Conference: 3. international meeting on frontiers in physics, Kuala Lumpur (Malaysia), 12-16 Jan 2009; Other Information: DOI: 10.1063/1.3192222; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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