Supersymmetry Ward identity for the supersymmetric non-Abelian gauge theory

Journal Article · Tue Apr 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2203· OSTI ID:5388866

Majumdar, P; Poggio, E C; Schnitzer, H J

It is shown by direct computation that the supersymmetry Ward identity for the supersymmetric Yang-Mills theory can be satisfied at the one-loop level in the Wess-Zumino gauge when one uses dimensional regularization with the prescription ..gamma../sup ..mu../..gamma../sub ..mu../=4, and performs the Dirac algebra in four dimensions. The result is found to be valid for arbitrary covariant gauge-fixing functionals. A particular gauge, xi=-3, is found for which the supersymmetry transformations of both renormalized and unrenormalized fields are finite and well defined. In this same gauge, one-loop renormalization constants for two-, three-, and four-point one-particle-irreducible Green's functions are found to be equal.

• Research Organization: Department of Physics, Brandeis University, Waltham, Massachusetts 02254
• OSTI ID: 5388866
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIAGRAMS
FEYNMAN DIAGRAM
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATRIX ELEMENTS
RENORMALIZATION
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
WARD IDENTITY
YANG-MILLS THEORY