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标题：The pressure and a possible hidden Hagedorn transition at large-N
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作者：B. Bringoltz ; M. Teper
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2005
卷号：2005
出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：In the rst part of this contribution we present a numerical study motivated by recent attempts to understand the nonperturbative aspects of QCD at temperatures T a few times the deconnement temperature Tc. We focus on the pure gauge theory, and ask whether the decit in pressure and entropy, with respect to their free-gas values, is particular to SU(3). We nd that the decit in SU(4);SU(8) for T 2Tc;1:6Tc, respectively, is remarkably close to that of SU(3). This suggests a similar decit for SU(¥), which is fortunate since this theory is simpler, and can serve to constrain the possible dynamics underlying the decits. In the second part we seek for signs of a Hagedorn temperature TH in pure lattice SU(N) gauge theories with N = 8;10; 12. Since one expects TH > Tc, we measure masses of strings in the metastable conned phase above Tc, and extrapolate them to zero to estimate TH. For SU(12) we nd that TH=Tc =1:116(9), when we extrapolate with a critical exponent of the three dimensional XY model, which seems to be preferred over a mean eld exponent by our data.