Gauge theory, gravitation, and symmetry

Journal Article · Wed Dec 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.3341· OSTI ID:7340133

Cho, Y M

The coupled Einstein-Yang-Mills (or Einstein-Maxwell in the case of an Abelian internal symmetry) theory is shown to be the unique gauge theory of T/sub 4/ x G, where T/sub 4/ is the 4-dimensional translation group and G is an internal-symmetry group. In the case of P/sub 4/ x G where P/sub 4/ is the 4-dimensional Poincare group one obtains Einstein-Cartan theory coupled with the internal gauge fields. As in the Abelian case internal Yang-Mills fields do not create any extra torsion, owing to the gauge invariance of the internal symmetry. The arguments are given in terms of the conventional gauge formalism, without using the bundle language. (AIP)

• Research Organization: The Enrico Fermi Institute, and the Department of Physics, The University of Chicago, Chicago, Illinois 60637
• OSTI ID: 7340133
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
LIE GROUPS
POINCARE GROUPS
SPACE-TIME
SYMMETRY GROUPS
VECTOR FIELDS
YANG-MILLS THEORY