arXiv 1402.40832014-02hep-th

关于全息星和对偶QGP的评论

Comments on holographic star and the dual QGP

Piyabut Burikham, Tossaporn Chullaphan

备注：: 30 pages, 9 figures, to be published in JHEP
DOI：: 10.1007/JHEP05(2014)042

摘要：

我们在类属维上研究静态AdS星。探讨了质量极限对体费米子质量的依赖关系。在体积共形极限中，质量极限饱和在与辐射星或充满纯辐射的AdS空间的质量极限相同的值处。与辐射星相比，退化AdS星在体共形极限下的温度和熵为零。全息地，普适质量极限对应于双规范图像中解除禁闭温度的上限。这个温度下的QGP与大黑洞是对偶的，热容是正的。当费米子质量增加时，质量极限落在小黑洞的范围内。我们发现，即使小黑洞有负的热容量，AdS盒允许的可能性，它保持在热平衡与辐射，只要黑洞的大小不小于临界尺寸。因此，可以产生具有负热容的双QGP，并且在低于饱和温度$T_{2}$的温度下保持稳定。在较高温度下产生的负热容QGP仍将完全凝聚成一种束缚强子气体。

英文摘要：

We study static AdS star in generic dimension. The dependence of the mass limit to the bulk fermion mass is explored. In the bulk conformal limit, the mass limit saturates at a value identical to the mass limit of a radiation star or the AdS space filling with pure radiation. The temperature and entropy of the degenerate AdS star in the bulk conformal limit is zero in contrast to the radiation star. Holographically, the universal mass limit corresponds to the upper limit of the deconfinement temperature in the dual gauge picture. The QGP at this temperature is dual to the large black hole and the heat capacity is positive. When the fermion mass increases, the mass limit falls into the range of the small black holes. We found that even though the small black hole has negative heat capacity, the AdS box allows possibilities that it remains in thermal equilibrium with the radiation as long as the size of the black hole is not smaller than a critical size. Consequently, the dual QGP with negative heat capacity can be produced and remains stable thermodynamically at temperature below a saturation temperature $T_{2}$. The QGP with negative heat capacity produced at higher temperature will still condensate completely into a gas of confined hadron.

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