Magnetic symmetries and vortices in Chern-Simons theories
We study the locality properties of the vortex operators in compact U(1) Maxwell-Chern-Simons and SU(N) Yang-Mills-Chern-Simons theories in 2+1 dimensions. We find that these theories do admit local vortex operators and thus in the UV regularized versions should contain stable magnetic vortices. In the continuum limit however the energy of these vortex excitations generically is logarithmically UV divergent. Nevertheless the classical analysis shows that at small values of the CS coefficient {kappa} the vortices become light. It is conceivable that they in fact become massless and condense due to quantum effects below some small {kappa}. If this happens the magnetic symmetry breaks spontaneously and the theory is confining.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40205016
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Journal Issue: 2 Vol. 63; ISSN 0556-2821
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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