Global signatures of gauge invariance: Vortices and monopoles. [U(1), 0(3), SU(2), SU(N) groups]

Journal Article · Sun Aug 15 04:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.1006· OSTI ID:7358109

Tze, H C; Ezawa, Z F

A comprehensive topological classification of vortices and their end-point Dirac monopoles is formulated in gauge theories with an arbitrary compact Lie group. By way of homotopy theory, a simple analysis is presented for the global groups U(1), O(3), and SU(2), then SU(N)/Z/sub N/ and SU(N). Finite vortices are achieved through the complementarity of Dirac strings and the nodal lines of the Higgs fields. In general, the varieties of topologically distinct vortices or monopoles are determined solely by the connectivity of the global group, specified by a discrete Abelian fundamental group. The close connection between our work and the Wu-Yang global formulation of gauge fields is pointed out. (AIP)

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 7358109
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUASI PARTICLES
SOLITONS
SYMMETRY GROUPS
TOPOLOGY
VORTICES