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arXiv 1002.1507hep-lathep-phnucl-th
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重夸克强耦合格点量子色动力学的压力、强子共振气体模型和大N极限

The pressure of strong coupling lattice QCD with heavy quarks, the hadron resonance gas model and the large N limit

Jens Langelage, Owe Philipsen

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12 pages, 4 figures
发表信息：
JHEP 1004:055,2010
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摘要：

本文用强耦合展开方法计算了纯格点Yang-Mills理论和重夸克格点量子色动力学的压强。动力学费米子引入了跳跃参数展开，这也允许有限夸克化学势的纳入。我们表明，在领先的订单的结果是完全符合预期的强子共振气体模型，从而验证了它与第一性原理计算。在纯Yang-Mills理论中，我们得到了相应的理想胶球气体，在含有重夸克的QCD中，我们的结果与介子和重子组成的理想气体的结果相同。另一个发现是，当逆t Hooft耦合被用作展开参数时，在大N极限下的Yang-Mills压力是计算阶数的$\sim N^0$阶。这种性质在我们的计算发生的受限相中是预期的。

英文摘要：

In this paper we calculate the pressure of pure lattice Yang-Mills theories and lattice QCD with heavy quarks by means of strong coupling expansions. Dynamical fermions are introduced with a hopping parameter expansion, which also allows for the incorporation of finite quark chemical potential. We show that in leading orders the results are in full agreement with expectations from the hadron resonance gas model, thus validating it with a first principles calculation. For pure Yang-Mills theories we obtain the corresponding ideal glueball gas, in QCD with heavy quarks our result equals that of an ideal gas of mesons and baryons. Another finding is that the Yang-Mills pressure in the large N limit is of order $\sim N^0$ to the calculated orders, when the inverse 't Hooft coupling is used as expansion parameter. This property is expected in the confined phase, where our calculations take place.

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