Renormalization of Yang-Mills theory in the Abelian gauge

Journal Article · Mon Jul 15 04:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.440· OSTI ID:5668927

Min, H; Lee, T; Pac, P Y

Renormalization of pure Yang-Mills theory is studied in the so-called Abelian gauge, a special bilinear gauge with a favored role given to a certain Abelian subgroup from the full non-Abelian gauge group. Renormalization in this gauge exhibits some unusual features: notably, different wave-function renormalizations are necessary for gauge fields with different ''Abelian'' charges and quartic ghost interaction terms are generated as renormalization counterterms. Despite these difficulties we show, through a careful analysis of the Becchi-Rouet-Stora transformation properties of the effective action, that Yang-Mills theory can be consistently renormalized in this gauge. Possible physical applications of this type of gauge (and its generalization which renders a favored role to a certain non-Abelian subgroup from the given gauge group) are noted briefly.

• Research Organization: Department of Physics, Seoul National University, Seoul, 151, Korea
• OSTI ID: 5668927
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 32:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MAGNETIC MONOPOLES
MONOPOLES
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
WAVE FUNCTIONS
YANG-MILLS THEORY