Magnetic symmetries and vortices in Chern-Simons theories - INSPIRE

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Magnetic symmetries and vortices in Chern-Simons theories

Gerald V. Dunne
(
- Connecticut U. and
- Oxford U.
)
,
Alex Kovner
(
- Oxford U.
)
,
Bayram Tekin
(
- Oxford U.
)

Aug, 2000

21 pages

Published in:

Phys.Rev.D 63 (2001) 025009

e-Print:

hep-th/0008139 [hep-th]

DOI:

10.1103/PhysRevD.63.025009

Report number:

OUTP-00-36-P

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Abstract:

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 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.

Chern-Simons term
gauge field theory: U(1)
gauge field theory: SU(N)
symmetry: magnetic
vortex: operator
dimension: 3
spontaneous symmetry breaking
confinement
Wilson loop

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Figures(0)

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