Fields in nonaffine bundles. II. Gauge-coupled generalization of harmonic mappings and their Bunting identities

Journal Article · Sat Feb 15 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.991· OSTI ID:6173419

Carter, B

The general-purpose bitensorially gauge-covariant differentiation procedure set up in the preceding article is specialized to the particular case of bundles with nonlinear fibers that are endowed with a (torsion-free) Riemannian or pseudo-Riemannian metric structure. This formalism is used to generalize the class of harmonic mappings between Riemannian or pseudo-Riemannian spaces to a natural gauge-coupled extension in the form of a class of field sections of a bundle having the original image space as fiber, with a nonintegrable gauge connection A belonging to the algebra of the isometry group of the fiber space. The Bunting identity that can be used for establishing uniqueness in the strictly positive metric-Riemannian case with negative image-space curvature is shown to be generalizable to this gauge-coupled extension.

• Research Organization: Groupe d'Astrophysique Relativiste, Centre National de la Recherche Scientifique, Observatoire de Paris, 92 Meudon, France
• OSTI ID: 6173419
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL SPACE
METRICS
PARTICLE MODELS
RIEMANN SPACE
SIGMA MODEL
SPACE