On thermodynamics of N=6 superconformal Chern-Simons theory

Details On thermodynamics of N=6 superconformal Chern-Simons theory On thermodynamics of N=6 superconformal Chern-Simons theory

2010-02-04

arxiv.org/abs/1002.0841v3

JHEP 1004:002,2010

Physics

High Energy Physics

High Energy Physics - Theory

29 pages. v2: references added. v3: minor changes, references added, published version

Scientific paper

10.1007/JHEP04(2010)002

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.

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