arXiv 1604.012632016-04hep-ph

质量隙内非微扰胶子压力的Hagedorn型结构接近QCD

The Hagedorn-type structure of the non-perturbative gluon pressure within the mass gap approach to QCD

V. Gogokhia, A. Shurgaia, M. Vasuth

备注：: 14 pages, 1 figure, no tables, some unnecessary text has been removed as well as a few references have been cancelled. Short descriptions of the results of arXiv:1012.4157 and arXiv:1409.3375 are presented in sections II, III and IV

摘要：

详细地证明了非微扰胶子压的低温膨胀具有Hagedorn型结构。它的指数谱的所有有效的胶子激发表示的质量间隙。这就是QCD基态的大尺度动力学结构。适当标度的非微扰胶子压力在某一特征温度$T=T_c = 266.5 \ \MeV$处有一个最大值，将低温区和高温区分开。在$T \rightarrow 0$限度内呈指数抑制。在$T \rightarrow T_c$极限下，动力学自由度呈指数增长。其随温度的指数增加行为仅在$T_c$以下有效。这使得可以用哈格多恩型转变温度$T_h$来识别$T_c$，即，把$T_h=T_c$放在有限温度下QCD的质量间隙方法中。非微扰胶子压力在$T_c$附近和直到大约$(4-5)T_c$附近对质量隙和温度有复杂的依赖关系。在极限的非常高的温度$T \rightarrow \infty$其多项式字符确认，包含条款成比例的$T^2$和$T$，乘以相应的权力的质量差距。\end{abstract}

英文摘要：

We have shown in detail that the low-temperature expansion for the non-perturbative gluon pressure has the Hagedorn-type structure. Its exponential spectrum of all the effective gluonic excitations are expressed in terms of the mass gap. It is this which is responsible for the large-scale dynamical structure of the QCD ground state. The non-perturbative gluon pressure properly scaled has a maximum at some characteristic temperature $T=T_c = 266.5 \ \MeV$, separating the low- and high temperature regions. It is exponentially suppressed in the $T \rightarrow 0$ limit. In the $T \rightarrow T_c$ limit it demonstrates an exponential rise in the number of dynamical degrees of freedom. Its exponential increase behavior with temperature is valid only up to $T_c$. This makes it possible to identify $T_c$ with the Hagedorn-type transition temperature $T_h$, i.e., to put $T_h=T_c$ within the mass gap approach to QCD at finite temperature. The non-perturbative gluon pressure has a complicated dependence on the mass gap and temperature near $T_c$ and up to approximately $(4-5)T_c$. In the limit of very high temperatures $T \rightarrow \infty$ its polynomial character is confirmed, containing the terms proportional to $T^2$ and $T$, multiplied by the corresponding powers of the mass gap. \end{abstract}

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