Perturbative analysis of anomalous chiral QED

Journal Article · Mon Oct 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.2806· OSTI ID:6313206

Aoki, S ^[1]

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1. Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794 (USA)

We calculate the full Wess-Zumino terms for anomalous chiral QED at the fermion one-loop level in lattice perturbation theory, except the explicit form of order-{ital a} terms, which can contribute in leading order in {ital a} and {ital e} by the integration of other fields. First we rewrite the result in terms of a local effective theory with the Wess-Zumino scalar in order to discuss gauge invariance, photon mass generation, renormalizability, and (effective) unitarity. Second we integrate this Wess-Zumino scalar and consider the resulting nonlocal theory to test a recent proposal for the quantization of anomalous gauge theory. We also present some one-loop calculations of the Wess-Zumino scalar integration to demonstrate how this integration recovers the original gauge invariance while producing a photon mass.

• OSTI ID: 6313206
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MASS
MASSLESS PARTICLES
PERTURBATION THEORY
PHOTONS
PROPAGATOR
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SYMMETRY
SYMMETRY BREAKING
TWO-DIMENSIONAL CALCULATIONS
UNITARITY