Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole

Journal Article · Tue Feb 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.035002· OSTI ID:20705955

Forgacs, P; Reuillon, S ^[1]; Obadia, N ^[2]

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1. Laboratoire de Mathemathiques et Physique Theorique, CNRS UMR6083, Universite de Tours, Parc de Grandmont 37200 Tours (France)
2. Department of Condensed Matter Physics, The Weizmann Institute of Science, P.O. Box 26, Rehovot 76100 (Israel)

A high precision numerical analysis of the static, spherically symmetric SU(2) magnetic monopole equations is carried out. Using multishooting and multidomain spectral methods, the mass of the monopole is obtained rather precisely as a function of {beta}=M{sub H}/M{sub W} for a large {beta}-interval (M{sub H} and M{sub W} denote the mass of the Higgs and gauge field, respectively). The numerical results necessitated the reexamination and subsequent correction of a previous asymptotic analysis of the monopole mass in the literature for {beta}<<1.

• OSTI ID: 20705955
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 3; Other Information: DOI: 10.1103/PhysRevD.71.035002; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
GAUGE INVARIANCE
HIGGS BOSONS
HIGGS MODEL
MAGNETIC MONOPOLES
NUMERICAL ANALYSIS
QUANTUM FIELD THEORY
REST MASS
SU-2 GROUPS
W MINUS BOSONS
W PLUS BOSONS