't Hooft--Polyakov monopole near the Prasad--Sommerfield limit
Journal Article
·
· Ann. Phys. (N.Y.); (United States)
A perturbative classical monopole solution for the SO(3) gauge theory is constructed in the limit of small but non-vanishing Higgs potential. This corresponds to the limit ..mu../sup 2//2M/sup 2//sub W/ = lambda<<1, where ..mu.. equals the mass of the scalar particle and M/sub W/ equals the mass of the intermediate vector particles. The monopole solution and mass are found to involve non-analytic functions of lambda: (lambda)/sup 1/2/ and lambda ln lambda. The monopole mass M/sub m/ is calculated to order ..mu../sup 2//M/sub W/ as M/sub m/ = (4..pi../e/sup 2/)M/sub W/(1+(1/2)(..mu../M/sub W/) +(1/2)(..mu../sup 2//M/sup 2//sub W/)ln(..mu../M/sub W/)+0.7071(..mu../sup 2//M/sup 2//sub W/)).
- Research Organization:
- Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- DOE Contract Number:
- AC02-76ER03069
- OSTI ID:
- 6032650
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 146:1; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BOSONS
BOUNDARY CONDITIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HIGGS MODEL
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MASS
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
PERTURBATION THEORY
POSTULATED PARTICLES
SO GROUPS
SO-3 GROUPS
SYMMETRY GROUPS
VECTOR FIELDS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BOSONS
BOUNDARY CONDITIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HIGGS MODEL
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MASS
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
PERTURBATION THEORY
POSTULATED PARTICLES
SO GROUPS
SO-3 GROUPS
SYMMETRY GROUPS
VECTOR FIELDS