Volume 68, Number 2, October 2004
|Page(s)||198 - 204|
|Section||The physics of elementary particles and fields|
|Published online||01 October 2004|
Phase structure of Abelian Chern-Simons gauge theories
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
Accepted: 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 of the CS coupling with , , the theory is equivalent to a gas of closed loops with contact interaction, exhibiting a phase transition in the universality class. We also employ Monte Carlo simulations to study the noncompact 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.
PACS: 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
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