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N=(1,1) super Yang--Mills theory in 1+1 dimensions at finite temperature

John R. Hiller·Yiannis Proestos·Stephen Pinsky·Nathan Salwen
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Abstract

We present a formulation of N=(1,1) super Yang-Mills theory in 1+1 dimensions at finite temperature. The partition function is constructed by finding a numerical approximation to the entire spectrum. We solve numerically for the spectrum using Supersymmetric Discrete Light-Cone Quantization (SDLCQ) in the large-N_c approximation and calculate the density of states. We find that the density of states grows exponentially and the theory has a Hagedorn temperature, which we extract. We find that the Hagedorn temperature at infinite resolution is slightly less than one in units of (g^(2) N_c/pi)^(1/2). We use the density of states to also calculate a standard set of thermodynamic functions below the Hagedorn temperature. In this temperature range, we find that the thermodynamics is dominated by the massless states of the theory.

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John R. Hiller, Yiannis Proestos, Stephen Pinsky, Nathan Salwen. 2009-10-19. N=(1,1) super Yang--Mills theory in 1+1 dimensions at finite temperature. https://doi.org/10.1103/physrevd.70.065012

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