The. delta. expansion and local gauge invariance

Journal Article · Tue Aug 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1354· OSTI ID:5467853

Bender, C M ^[1]; Cooper, F ^[2]; Milton, K A ^[3]

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1. Department of Physics, Washington University, St. Louis, Missouri 63130 (US)
2. Department of Physics, Brown University, Providence, Rhode Island 02912 Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexic o 87545
3. Department of Physics, The Ohio State University, Columbus, Ohio 43210 Department of Physics and Astronomy, University of Oklahoma, Norman, Oklaho ma 73019

A recently proposed approximation method, called the {delta} expansion, was introduced in the context of a self-interacting scalar field theory. This approximation method offers the hope of obtaining nonperturbative information about a quantum field theory using perturbative techniques. In this paper we extend formally the {delta}-expansion methods to field theories having local gauge symmetry. We then compute the anomaly in the Schwinger model.

• OSTI ID: 5467853
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MASSLESS PARTICLES
PERTURBATION THEORY
PHOTONS
PROPAGATOR
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE-TIME
SPINOR FIELDS
SUPERSYMMETRY
SYMMETRY