Vilkovisky-DeWitt effective potential for Einstein gravity coupled to scalars

Journal Article · Wed Nov 15 04:00:00 EST 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.3302· OSTI ID:5243357

Cho, H T ^[1]

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1. Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019 (US) Department of Physics, Ohio State University, Columbus, Ohio 43210

The Vilkovisky-DeWitt one-loop effective potential is constructed for Einstein gravity coupled nonminimally to scalars, and is proved explicitly to be independent of gauge choice, for a class of covariant gauges. Explicit forms of the effective potential in three cases are given. The first two cases are used to show that the Vilkovisky-DeWitt formalism is not just a gauge-fixed version of the conventional one in general. The last case concerns the possibility of inducing Einstein gravity dynamically in a Brans-Dicke-type model.

• OSTI ID: 5243357
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:10; ISSN PRVDA; ISSN 0556-2821
• 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
COUPLING
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
GREEN FUNCTION
INVARIANCE PRINCIPLES
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS
SYMMETRY BREAKING