A most general formulation of anomalies and their family structure in QED in path integral formulation. [QED (quantum electrodynamics)]

Journal Article · Sat Jan 01 00:00:00 EST 1994 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1006/aphy.1994.1003· OSTI ID:7050625

Joglekar, S D; Saini, G ^[1]

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1. Indian Institute of Technology, Kanpur (India)

In this work the authors give a very general formulation of a family of anomalies in path-integral formulation in QED in four dimensions. The authors regularize the axial vector current in a most general manner and show that the family of anomalies follows from a general argument without a detailed calculation. The treatment covers a wide variety of regularizations used, as special cases. In particular, it covers the case in which eigenfunctions of a (fairly) general operator are used to expand [psi] and [psi] and very general regularizing functions are used. The previous derivations based on the gauge-variant operator D[sub a] = [phi] + ieaA are special cases of this treatment. Certain Feynman diagrammatic calculations, point-splitting calculations, use of non hermitian operators, proper time methods are also shown to be special cases of this treatment. 19 refs.

• OSTI ID: 7050625
• Journal Information: Annals of Physics (New York); (United States), Vol. 229:1; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM ELECTRODYNAMICS
ANOMALOUS DIMENSION
FEYNMAN PATH INTEGRAL
AXIAL-VECTOR CURRENTS
GAUGE INVARIANCE
ALGEBRAIC CURRENTS
CURRENTS
ELECTRODYNAMICS
FIELD THEORIES
INTEGRALS
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
SCALE DIMENSION
662220* - Quantum Electrodynamics- (1992-)