Dual potentials in non-Abelian gauge theories

Journal Article · Fri Apr 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2323· OSTI ID:5375294

Caticha, A

Motivated by the possibility that confinement and superconductivity are similar phenomena, dual potentials are introduced into Yang-Mills theory in two different ways. Both are extensions of Zwanziger's two-potential formalism for Abelian charges and monopoles to the non-Abelian case. In the first approach the dual potentials carry a color index and there is a rather simple, although nonlocal, dual-variable formulation. In the second approach dual variables are introduced into the so-called Abelian projection of the SU(2) Yang-Mills theory. An interesting feature is that the quartic contact interactions are absent and there is a special gauge choice for which the theory takes on a ''purely electromagnetic'' form. More important, however, is the appearance of an additional Abelian magnetic gauge symmetry the dynamical breaking of which may be associated with confinement.

• Research Organization: Department of Physics, University of Utah, Salt Lake City, Utah 84112
• OSTI ID: 5375294
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
ELECTRIC CHARGES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
PHYSICAL PROPERTIES
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SUPERCONDUCTIVITY
SYMMETRY BREAKING
SYMMETRY GROUPS
YANG-MILLS THEORY