Ward identities in a general axial gauge. I. Yang-Mills theory

Journal Article · Mon Feb 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.1002· OSTI ID:5521143

Capper, D M; Leibbrandt, G

Ward identities are derived in a general axial gauge by considering three distinct expressions for the gauge-breaking part of the Yang-Mills Lagrangian. The Ward identities are verified by calculating the one-loop self-energies in the appropriate axial gauge. It is shown, in particular, that one of the three gauge-breaking terms, namely (2..cap alpha..n/sup 2/)/sup -1/(nxA/sup a/)partial/sup 2/(nxA/sup a/), gives rise to a self-energy which is nontransverse. The latter gauge includes the planar gauge (..cap alpha.. = -1). The effect of the general axial gauge on the Yang-Mills counterterms is analyzed and the implications for quantum gravity are briefly discussed.

• Research Organization: Department of Physics, Queen Mary College, Mile End Road, London E1 4NS, England
• OSTI ID: 5521143
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENERGY
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RENORMALIZATION
SELF-ENERGY
WARD IDENTITY
YANG-MILLS THEORY