On the construction of exact multi-monopole solutions in Yang-Mills-Higgs system

Technical Report · Sat Mar 01 04:00:00 EST 1980

DOI:https://doi.org/10.2172/6454368· OSTI ID:6454368

Narain, K S

Recently exact axially symmetric multi-monopole solutions in Yang-Mills-Higgs system were constructed by Prasad et al in the Prasad-Sommerfield limit. In the present paper their results are expressed in a more convenient and closed form with general constraint relations given on the parameters in order to ensure reality of the solution over all space. Further it is shown that solutions satisfying reality condition, although regular on the x/sub 3/ axis in general, develop singularities on the asymptotic surfaces near the x/sub 3/ axis. The necessary and sufficient conditions to ensure non-singularity of the solutions on the asymptotic surfaces and hence the finiteness of energy are given. The solution to these conditions uniquely determines all the parameters, up to an overall translation, and are the ones that appear in Prasad's Ansatz.

• Research Organization: Syracuse Univ., NY (USA). Dept. of Physics
• Sponsoring Organization: USDOE
• DOE Contract Number: AS02-76ER03533
• OSTI ID: 6454368
• Report Number(s): DOE/ER/03533-191; COO-3533-191; SU-4217-191; ON: DE81026532
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
ASYMPTOTIC SOLUTIONS
AXIAL SYMMETRY
EUCLIDEAN SPACE
HIGGS MODEL
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MONOPOLES
PARTICLE MODELS
RIEMANN SPACE
SPACE
SPACE-TIME
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY