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arXiv · 1002.0841

On thermodynamics of N=6 superconformal Chern-Simons theory

Mikael Smedbäck
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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.

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Mikael Smedbäck. 2010-05-25. On thermodynamics of N=6 superconformal Chern-Simons theory. https://doi.org/10.1007/jhep04(2010)002

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