Surface operators and magnetic degrees of freedom in yang-mills theories

Magnetic degrees of freedom are manifested through violations of the Bianchi identities and associated with singular fields. Moreover, these singularities should not induce color nonconservation. We argue that the resolution of the constraint is that the singular fields, or defects are Abelian in na...

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Bibliographic Details
Published in:Physics of atomic nuclei 2010-04, Vol.73 (4), p.711-720
Main Authors: Di Giacomo, A., Zakharov, V. I.
Format: Article
Language:English
Subjects:
BRANES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COLOR MODEL
COMPOSITE MODELS
D-BRANES
DEGREES OF FREEDOM
Elementary Particles and Fields
INVARIANCE PRINCIPLES
MAGNETIC FIELDS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
Particle and Nuclear Physics
PARTICLE MODELS
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARK MODEL
RESOLUTION
SINGULARITY
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY
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Summary:Magnetic degrees of freedom are manifested through violations of the Bianchi identities and associated with singular fields. Moreover, these singularities should not induce color nonconservation. We argue that the resolution of the constraint is that the singular fields, or defects are Abelian in nature. Recently proposed surface operators seem to represent a general solution to this constraint and can serve as a prototype of magnetic degrees of freedom. Some basic lattice observations, such as the Abelian dominance of the confining fields, are explained then as consequences of the original non-Abelian invariance. Generically, the properties of the two-dimensional defects associated with the surface operators are close to the predictions of the dual models for the magnetic D2 branes.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778810040174