script N sign = (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 script N sign = (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-Nc 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 √g2Nc/π. 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.

Original languageEnglish (US)
Article number065012
Pages (from-to)065012-1-065012-7
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number6
DOIs
StatePublished - 2004

Bibliographical note

Funding Information:
This work was supported in part by the U.S. Department of Energy and by the Minnesota Supercomputing Institute.

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