On thermodynamics of N=6 superconformal Chern-Simons theory
Abstract
We study thermodynamics of N=6 superconformal Chern-Simons theory by computing quantum corrections to the free energy. We find that in weakly coupled ABJM theory on R(2) x S(1), the leading correction is non-analytic in the 't Hooft coupling lambda, and is approximately of order lambda^2 log(lambda)^3. The free energy is expressed in terms of the scalar thermal mass m, which is generated by screening effects. We show that this mass vanishes to 1-loop order. We then go on to 2-loop order where we find a finite and positive mass squared m^2. We discuss differences in the calculation between Coulomb and Lorentz gauge. Our results indicate that the free energy is a monotonic function in lambda which interpolates smoothly to the N^(3/2) behaviour at strong coupling.
Keywords
Cite
@article{arxiv.1002.0841,
title = {On thermodynamics of N=6 superconformal Chern-Simons theory},
author = {Mikael Smedbäck},
journal= {arXiv preprint arXiv:1002.0841},
year = {2010}
}
Comments
29 pages. v2: references added. v3: minor changes, references added, published version