Gauge group cohomology in the monopole sector of Yang--Mills theories

Journal Article · Mon Aug 01 04:00:00 EDT 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527844· OSTI ID:7058396

Bakas, I; McMullan, D

The theory of Chern--Simons secondary characteristic classes is used to study the gauge group cohomology associated with Yang--Mills theories in sectors with persistent boundary effects. A generalized ''descent'' tower of globally defined cocycles (for manifolds with boundaries) is adopted and its relevance to monopole physics is investigated by means of the Christ--Jackiw interpretation for Yang--Mills dyons. In particular, it is found that three-cocycles can arise in the monopole sector of gauge theories and explicit formulas are derived for their description.

• Research Organization: Center for Relativity, The University of Texas at Austin, Austin, Texas 78712
• OSTI ID: 7058396
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL GEOMETRY
DYONS
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
GEOMETRY
GROUP THEORY
INVARIANCE PRINCIPLES
MAGNETIC MONOPOLES
MATHEMATICS
MONOPOLES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
TOPOLOGY
YANG-MILLS THEORY