Renormalization of interacting scalar field theory in three-dimensional curved spacetime

Journal Article · Wed Jun 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.6767· OSTI ID:7308601

Huish, G J; Toms, D J ^[1]

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1. Department of Physics, University of Newcastle Upon Tyne, Newcastle Upon Tyne, United Kingdom NE1 7RU (United Kingdom)

The renormalizability of a real scalar field with a polynomial self-interaction of degree six on a general curved three-dimensional background spacetime is considered. The method used is the background-field expansion of the effective action. We show that the theory is finite (after regularization) at one- and three-loop order. Complete counterterms are found at two-loop order. A partial analysis at four-loop order is presented to analyze the gravitationally dependent counterterms. A previous paper dealing with a special case of the theory considered here is shown to be incorrect.

• OSTI ID: 7308601
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PHI4-FIELD THEORY
RENORMALIZATION
ACTION INTEGRAL
SCALAR FIELDS
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS
FIELD THEORIES
INTEGRALS
QUANTUM FIELD THEORY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)
661310 - Relativity & Gravitation- (1992-)