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arXiv 1507.03036hep-th
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有限温度下的弦位和Hagedorn相

String Bits at Finite Temperature and the Hagedorn Phase

Charles B. Thorn

备注：
14 pages, 4 figures, typos corrected
发表信息：
Phys. Rev. D 92, 066007 (2015)
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摘要：

研究了有限温度下简单弦比特模型的行为。我们使用热微扰理论来分析高温区。但在低温下，我们依赖于动力学的大$N$极限，其精确的能谱是已知的。由于无限$N$的最低能态是自由闭弦，所以$N=\infty$配分函数在有限温度$β_H^{-1}$（哈格多恩温度）以上发散。我们认为，在这些具有有限自由度的有限$N$的模型中，既不可能有极限温度，也不可能有任何类型的相变。我们讨论如何在无限$N$的不连续行为可以在有限$N$删除。在这个决议的基本弦位自由度变得更加活跃的温度附近和以上的哈格多恩温度。

英文摘要：

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 $β_H^{-1}$, 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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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