Phase structure of Abelian Chern-Simons gauge theories

We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, with the CS term properly defined, we obtain that for values $g=n/2\pi$ of the CS coupling with $n=\pm 1$, $\pm 2$, the theory is equivalent to...

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Bibliographic Details
Published in:Europhysics letters 2004-10, Vol.68 (2), p.198-204
Main Authors: Smørgrav, E, Smiseth, J, Sudbø, A, Nogueira, F. S
Format: Article
Language:English
Subjects:
05.30.Pr
11.15.Ha
74.20.-z
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Summary:We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, with the CS term properly defined, we obtain that for values $g=n/2\pi$ of the CS coupling with $n=\pm 1$, $\pm 2$, the theory is equivalent to a gas of closed loops with contact interaction, exhibiting a phase transition in the $3dXY$ universality class. We also employ Monte Carlo simulations to study the noncompact $U(1)$ Abelian Higgs model with a CS term. Finite-size scaling of the third moment of the action yields critical exponents α and ν that vary continuously with the strength of the CS term, and a comparison with available analytical results is made.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2004-10192-7