Dual formulation of non-Abelian gauge theories

Journal Article · Thu May 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2916· OSTI ID:5389589

Kazama, Y; Savit, R

Motivated by an analogy with Abelian theories, we construct a new duality transformation for non-Abelian gauge theories. For large coupling the gauge-theory vacuum should have its most important contributions from configurations of the dual fields without large fluctuations. The generating functional when expressed in terms of the dual variables has a rather simple and suggestive structure which manifests some features of a gauge theory, but now a gauge theory of the dual variables with the coupling constant inverted. We discuss several aspects of this representation including the possibility of using it as the basis for a strong-coupling expansion for the field theory. We also investigate a systematic, formal (perturbative) solution to a constraint condition among our dual variables which has the form of a Bianchi identity.

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 5389589
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COUPLING CONSTANTS
DUALITY
ELECTRODYNAMICS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
STRONG-COUPLING MODEL
VACUUM STATES