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

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.

arXiv comment16 pages, 8 eps figures, LaTeX

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• Light front QED${}_{1+1}$ at finite temperature
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• Light-front analysis of the Casimir effect
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• Casimir force on a light front
• Nonperturbative solution of Yukawa theory and gauge theories
• The Casimir effect in light-front quantization