Nonperturbative approach to Yang-Mills theories in the continuum. II. Considerations away from strong coupling

Journal Article · Sun Feb 15 04:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.1484· OSTI ID:6924346

Karanikas, A I; Ktorides, C N

We confront the general problem posed by nonperturbative calculations in non-Abelian gauge theories, pertaining to the Wilson loop operator, away from strong coupling. We adopt a nonperturbatively regularized formulation of Yang-Mills theories in the continuum which has already been discussed in the preceding paper. We study, in particular, Yang-Mills duality, within our regularized context, with respect to the full SU(N) group and not simply its center Z/sub N/. We further show that, from the present viewpoint, duality emerges through a distinction between the regularization length on one hand and the scale by which the Yang-Mills system is observed on the other. Finally, we are able to derive a Makeenko-Migdal-type equation for finite N.

• Research Organization: Physics Department, Nuclear and Particle Physics Division, Panepistimiopolis, GR15771 Athens, Greece
• OSTI ID: 6924346
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DUALITY
ELECTRODYNAMICS
FIELD THEORIES
FOURIER TRANSFORMATION
GAUGE INVARIANCE
HIGGS MODEL
INTEGRAL TRANSFORMATIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SU GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
TRANSFORMATIONS
U GROUPS
U-1 GROUPS
YANG-MILLS THEORY