Subleading divergences for scalar field theory in three dimensions

Journal Article · Sun Jan 15 04:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.938· OSTI ID:6644380

Huish, G J ^[1]

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

We complete a previous investigation into the renormalization of interacting scalar field theory in three dimensions using the background-field method. The divergent four-loop vacuum diagrams associated with flat space and contributing to the effective action are summed. All nonpolynomial terms associated with subdivergent diagrams are canceled by counterterm insertions in graphs of lower order. The remaining divergences are local polynomials in the renormalized couplings and we give the counterterms associated with these terms. We also list the renormalization group functions through four loops. Combined with previous results we can conclude that the theory remains renormalizable in a spacetime of arbitrary curvature up to four-loop order.

• OSTI ID: 6644380
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
FIELD THEORIES
MEAN-FIELD THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS
VACUUM STATES