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arXiv 0812.3792hep-th
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热态QCD的热力学几何

On the Thermodynamic Geometry of Hot QCD

Stefano Bellucci, Vinod Chandra, Bhupendra Nath Tiwari

摘要:

我们研究了由热QCD自由能引起的协变热力学几何的性质。我们系统地分析了2味和3味热QCD的自由能的基本平衡热力学组态,包括或不包括QCD转变温度附近的热涨落。我们证明了QCD热力学存在一个定义明确的热力学几何概念。这样得到的几何没有作为内禀黎曼流形的奇点。我们进一步表明,有一个密切的联系,这种几何方法与现有的研究相关性和夸克数的热QCD。

英文摘要:

We study the nature of the covariant thermodynamic geometry arising from the free energy of hot QCD. We systematically analyze the underlying equilibrium thermodynamic configurations of the free energy of 2- and 3-flavor hot QCD with or without including thermal fluctuations in the neighborhood of the QCD transition temperature. We show that there exists a well-defined thermodynamic geometric notion for QCD thermodynamics. The geometry thus obtained has no singularity as an intrinsic Riemannian manifold. We further show that there is a close connection of this geometric approach with the existing studies of correlations and quark number susceptibilities in hot QCD.

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