An investigation of a class of self-dual monopole solutions

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1988

OSTI ID:5094039

Fitzsimmons, S G

The object of this investigation is to exhibit explicit magnetic monopole solutions of the grand unified field equations for different gauge groups. Chapter 1 introduces the assumptions used to simplify the field equations. The class of grand unified models considered contains gauge fields and a single Higgs field in the adjoint representation. The solutions sought are spherically symmetric, and the Bogomolny-Prasad-Sommerfield limit is assumed. Physically important finite energy solutions must satisfy boundary conditions at the origin and the far-field. In Chapter 2, the spherical symmetry is implemented by a particular type of imbedding, known as maximal imbedding. The general solution of the field equations in this case is known, and the integration constants are chosen to match the boundary conditions using the Laplace transform. Chapters 3 and 4 investigate the existence and stability of the related McGlinn solutions.

• Research Organization: Notre Dame Univ., IN (USA)
• OSTI ID: 5094039
• Country of Publication: United States
• Language: English

Related Subjects

640000 -- Physics
640430* -- Fluid Physics-- Magnetohydrodynamics
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GRAND UNIFIED THEORY
HIGGS MODEL
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
TRANSFORMATIONS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES