Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String Bits at Finite Temperature and the Hagedorn Phase   We study the behavior of a simple string bit model at finite temperature. We
use thermal perturbation theory to analyze the high temperature regime. But at
low temperatures we rely on the large $N$ limit of the dynamics, for which the
exact energy spectrum is known. Since the lowest energy states at infinite $N$
are free closed strings, the $N=\infty$ partition function diverges above a
finite temperature $\beta_H^{-1}$, the Hagedorn temperature. We argue that in
these models at finite $N$, which then have a finite number of degrees of
freedom, there can be neither an ultimate temperature nor any kind of phase
transition. We discuss how the discontinuous behavior seen at infinite $N$ can
be removed at finite $N$. In this resolution the fundamental string bit degrees
of freedom become more active at temperatures near and above the Hagedorn
temperature.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: physics