Mapping of connections on bundles and gauge field theories

Journal Article · Sat Jun 01 00:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526518· OSTI ID:5937508

Sen, D K

The problem of solving the combined gravitational and Yang--Mills field systems is regarded as a purely geometrical problem of determining a linear connection on the principal frame bundle L(M) from a connection on a SU(2) principal bundle over a space-time M. It is suggested that mapping theorems of connections on bundles may provide a means of actually solving ''field equations.''

• Research Organization: Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1
• OSTI ID: 5937508
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
EINSTEIN FIELD EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATION
GRAVITATIONAL FIELDS
GROUP THEORY
INVARIANCE PRINCIPLES
MAPPING
MATHEMATICS
METRICS
POTENTIALS
SPACE-TIME
TOPOLOGICAL MAPPING
TRANSFORMATIONS
YANG-MILLS THEORY