Europhys. Lett.
Volume 68, Number 2, October 2004
Page(s) 198 - 204
Section The physics of elementary particles and fields
Published online 01 October 2004
Europhys. Lett., 68 (2), pp. 198-204 (2004)
DOI: 10.1209/epl/i2004-10192-7

Phase structure of Abelian Chern-Simons gauge theories

E. Smørgrav1, J. Smiseth1, A. Sudbø1 and F. S. Nogueira2

1  Department of Physics, Norwegian University of Science and Technology N-7491 Trondheim, Norway
2  Institut für Theoretische Physik, Freie Universität Berlin - D-14195 Berlin, Germany

received 10 March 2004; accepted in final form 23 August 2004

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 $\alpha$ and $\nu$ that vary continuously with the strength of the CS term, and a comparison with available analytical results is made.

11.15.Ha - Lattice gauge theory.
74.20.-z - Theories and models of superconducting state.
05.30.Pr - Fractional statistics systems (anyons, etc.).

© EDP Sciences 2004