Quark confinement and dual representation in (2+1)-dimensional pure Yang-Mills theory
- Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005 (India)
We study the quark confinement problem in (2+1)-dimensional pure Yang-Mills theory using Euclidean instanton methods. The instantons are regularized and dressed Wu-Yang monopoles. The dressing of a monopole is due to the mean field of the rest of the monopoles. We argue that such configurations are stable to small perturbations unlike the case of singular, undressed monopoles. Using exact nonperturbative results for the three-dimensional Coulomb gas, where Debye screening holds for arbitrarily low temperatures, we show in a self-consistent way that a mass gap is dynamically generated in the gauge theory. The mass gap also determines the size of the monopoles. In a sense the pure Yang-Mills theory generates a dynamical Higgs effect. We also identify the disorder operator of the model in terms of the sine-Gordon field of the Coulomb gas. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 284023
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 53; ISSN 0556-2821; ISSN PRVDAQ
- Country of Publication:
- United States
- Language:
- English
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