Flux quantization and angular momentum in non-Abelian gauge field theories

Journal Article · Wed Jun 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.3660· OSTI ID:7220689

Huang, K; Stump, D R

We study a Yang-Mills field, with gauge group generators L/sub a/ (a = 1, . . . ,n), coupled to self-interacting source fields through a gauge coupling constant e. The following results are obtained: (a) The total angular momentum, defined as Poincare group generators, is the free-field angular momentum plus (1/2..pi..) Q/sub a/Phi-arrow-right/sub a/, where Q/sub a/ is the total charge and Phi/sup k//sub a/ is the total flux of ..delta.. x A/sub a/ in the x/sup k/ direction. (b) There is a choice of )L/sub a/) such that the flux matrix Phi-arrow-right equivalent Phi-arrow-right/sub a/L/sub a/ obeys the quantization condition ((e/2..pi..) Phi/sup 1/,(e/2..pi..) Phi/sup 2/) = (ie/2..pi..) Phi/sup 3/. (c) (e/2..pi..) Phi-arrow-right generates gauge transformations that are equivalent to spatial rotations of asymptotic Higgs fields. (d) For any solution in which (e/2..pi..) Phi-arrow-right not-equal 0, the gauge field is a monopole field with pole strength g = 1/e.

• Research Organization: Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 7220689
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
COUPLING CONSTANTS
FIELD THEORIES
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
ISOSPIN
LIE GROUPS
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
PARTICLE PROPERTIES
POINCARE GROUPS
QUANTUM FIELD THEORY
SPACE-TIME
SYMMETRY GROUPS
YANG-MILLS THEORY