Renormalization and scaling behavior of non-Abelian gauge fields in curved spacetime

Journal Article · Sun May 01 00:00:00 EDT 1983 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(83)90215-4· OSTI ID:5517798

Leen, T K

In this article we discuss the one loop renormalization and scaling behavior of non-Abelian gauge field theories in a general curved spacetime. A generating functional is constructed which forms the basis for both the perturbation expansion and the Ward identifies. Local momentum space representations for the vector and ghost particles are developed and used to extract the divergent parts of Feynman integrals. The one loop diagram for the ghost propagator and the vector-ghost vertex are shown to have no divergences not present in Minkowski space. The Ward identities insure that this is true for the vector propagator as well. It is shown that the above renormalizations render the three- and four-vector vertices finite. Finally, a renormalization group equation valid in curved spacetimes is derived. Its solution is given and the theory is shown to be asymptotically free as in Minkowski space.

• Research Organization: Department of Physics, University of Wisconsin, Milwaukee, Wisconsin 53201
• OSTI ID: 5517798
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 147:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
DIAGRAMS
FEYNMAN DIAGRAM
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
MINKOWSKI SPACE
PERTURBATION THEORY
PROPAGATOR
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE
SPACE-TIME
WARD IDENTITY