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Gauge Invariance and Ward Identities in a Massive-Vector-Meson Model

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Univ. of Pittsburgh, PA (United States)
  2. Freie Univ., Berlin (Germany)
+ Show Author Affiliations
Here normal-product techniques are applied to the study of gauge invariance in a massive-vector-meson model in renormalized perturbation theory. Composite fields are defined which are invariant under a one-parameter family of covariant gauge transformations. Ward identities are derived for Green's functions involving an arbitrary number of vector and axial-vector currents. The lack of lowest-order radiative corrections to the triangle anomaly of the axial-vector Ward identity is verified using Bogoliubov-Parasiuk-Hepp-Zimmermann methods.
Research Organization:
Freie Univ., Berlin (Germany); Univ. of Pittsburgh, PA (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-26-026718
OSTI ID:
4670074
Alternate ID(s):
OSTI ID: 4621083
Report Number(s):
NYO--3829-88
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 6; ISSN 0556-2821
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (13)

Field Equations in Quantum Electrodynamics journal January 1970
Convergence of Bogoliubov's method of renormalization in momentum space journal September 1969
Proof of the Bogoliubov-Parasiuk theorem on renormalization journal December 1966
Differential vertex operations in Lagrangian field theory journal March 1971
Quantum electrodynamics as limit of a vector-meson theory journal June 1969
Consequences of anomalous ward identities journal November 1971
Massive Electrodynamics journal May 1963
Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation journal June 1969
Bound States in Quantum Field Theory journal October 1951
Ward Identities forηDecay in Perturbation Theory journal January 1971
Vanishing of the Second-Order Correction to the Triangle Anomaly in Landau-Gauge, Zero-Fermion-Mass Quantum Electrodynamics journal September 1971
Normal-Product Quantization of Currents in Lagrangian Field Theory journal October 1971
Absence of Second-Order Correction to the Triangle Anomaly in Quantum Electrodynamics journal July 1971

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Related Subjects

Elementary Particle Models
FERMIONS
Fermions
GAUGE INVARIANCE
INTERACTIONS
MASS
Mesons
PARTICLE MODELS
PERTURBATION THEORY
Perturbation Theory
QUANTUM FIELD THEORY
Quantum Field Theory
RENORMALIZATION
Theoretical Physics
VECTOR MESONS
Vector
WARD IDENTITY