Overlapping-divergence-free skeleton expansion in non-Abelian gauge theories

Journal Article · Fri Apr 15 04:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.2201· OSTI ID:7304553

Baker, M; Lee, C

We derive a skeleton expansion in Yang-Mills theory, which is completely free of overlapping divergences. This skeleton expansion provides a generalization of the Schwinger-Dyson equations of quantum electrodynamics to non-Abelian gauge theories. It yields a simple procedure for calculating renormalized perturbation theory integrals without using regulators and could serve as a starting point for nonperturbative approximations. In carrying out this analysis, we show that the Yang-Mills vector self-energy function and the Yang-Mills vector three-point function are uniquely determined by the Ward-Takahashi identity in terms of the other three basic vertex functions.

• Research Organization: Department of Physics, University of Washington, Seattle, Washington 98195
• OSTI ID: 7304553
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DYSON REPRESENTATION
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
PERTURBATION THEORY
PHOTONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
VERTEX FUNCTIONS
WARD IDENTITY
YANG-MILLS THEORY