Axial gauge: Ward identities and the separation of infrared and ultraviolet singularities by analytic regularization

Journal Article · Mon Jul 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526893· OSTI ID:5770582

Lee, H; Milgram, M S

It is shown that the method of analytically regulating Yang--Mills theories in the axial gauge preserves gauge invariance. Two- and three-point Ward identities are computed and verified at the one-loop level. The method also permits a convenient and gauge-invariant separation of infrared and ultraviolet singularities in the axial gauge. In the axial gauge the renormalization constants Z/sub 3/ = Z/sub 1/ = 1+11g/sup 2/C/sub 2//(48..pi..epsilon/sup 2/), leading to a ..beta.. function which is identical to that computed in the covariant xi gauges.

• Research Organization: Atomic Energy of Canada Limited, Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada K0J 1J0
• OSTI ID: 5770582
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
LIGHT CONE
QUANTUM FIELD THEORY
RENORMALIZATION
SINGULARITY
SPACE-TIME
WARD IDENTITY
YANG-MILLS THEORY