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Phase structure of Abelian Chern-Simons gauge theories

E. Smorgrav·J. Smiseth·A. Sudbo·F. S. Nogueira
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Abstract

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, we obtain that for values $g=n/2π$ 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.

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E. Smorgrav, J. Smiseth, A. Sudbo, F. S. Nogueira. 2004-08-29. Phase structure of Abelian Chern-Simons gauge theories. https://doi.org/10.1209/epl%2Fi2004-10192-7

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