## 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-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}/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 language | English (US) |
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Article number | 065012 |

Pages (from-to) | 065012-1-065012-7 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 70 |

Issue number | 6 |

DOIs | |

State | Published - 2004 |

### Bibliographical note

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