One-loop Vilkovisky-DeWitt counterterms for two-dimensional gravity plus scalar field theory

Journal Article · Tue Dec 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.5449· OSTI ID:7159025

Kantowski, R; Marzban, C ^[1]

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1. University of Oklahoma, Department of Physics and Astronomy, Norman, Oklahoma 73019 (United States)

The divergent part of the one-loop off-shell effective action is computed for a single scalar field coupled to the Ricci curvature of two-dimensional gravity ([ital c][phi][ital R]), and self-interacting by an arbitrary potential term [ital V]([phi]). The Vilkovisky-DeWitt effective action is used to compute gauge-fixing-independent results. In our background field covariant gauge we find that the Liouville theory is finite on shell. Off shell, we find a large class of renormalizable potentials which includes the Liouville potential. We also find that for backgrounds satisfying [ital R]=0, the Liouville theory is finite off shell, as well.

• OSTI ID: 7159025
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:12; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
COUPLING
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERIPHERAL MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RENORMALIZATION
SCALAR FIELDS
SIGMA MODEL
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS