THE HAGEDORN/DECONFINEMENT PHASE TRANSITION IN WEAKLY COUPLED LARGE N GAUGE THEORIES
THE HAGEDORN/DECONFINEMENT PHASE TRANSITION IN WEAKLY COUPLED LARGE N GAUGE THEORIES
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弱耦合大规范理论中的哈格多恩/解约束相变
DOI：
10.1142/9789812702562_0010
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
M. Raamsdonk
中科院分区：
文献类型：
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作者：
O. Aharony;J. Marsano;Shiraz Minwalla;K. Papadodimas;M. Raamsdonk
我们证明了一类紧致空间流形（包括 Sd−1× 时间）的弱耦合、大维规范理论在与所讨论的流形的反长度尺度成比例的温度下经历去限制相变。低温相具有一阶自由能，其特征在于其态密度呈丝状（哈格多恩）增长。高温相具有N2量级的自由能。这些相通过通常在哈格多恩温度以下发生的单个一级转变或通过两个连续相变（其中第一个在哈格多恩温度下发生）分开。在约束规范理论的情况下，这些相变可能与通常的平坦空间解约束相变连续相连，在超对称杨-米尔斯理论的情况下，这些相变可能与 AdS5 黑洞的霍金-佩奇成核连续相连。我们建议，解约束跃迁通常可以用双弦理论中的黑洞形成来解释。我们的分析首先将杨-米尔斯配分函数简化为酉矩阵上的 (0 + 0) 维积分，这是欧几里德空间中围绕热时间圈的规范场的完整性（威尔逊环）；解约束跃迁是该矩阵积分中的大跃迁。
We demonstrate that weakly coupled, large,-dimensionalgauge theories on a class of compact spatial manifolds (including Sd−1× time) undergo deconfinement phase transitions at temperatures proportional to the inverse length scale of the manifold in question. The low temperature phase has a free energy of order one, and is characterized by a stringy (Hagedorn) growth in its density of states. The high temperature phase has a free energy of order N2. These phases are separated either by a single first order transition that generically occurs below the Hagedorn temperature or by two continuous phase transitions, the first of which occurs at the Hagedorn temperature. These phase transitions may be continuously connected to the usual flat space deconfinement transition in the case of confining gauge theories, and to the Hawking-Page nucleation of AdS5black holes in the case of thesupersymmetric Yang-Mills theory. We suggest that deconfinement transitions may generally be interpreted in terms of black hole formation in a dual string theory. Our analysis proceeds by first reducing the Yang-Mills partition function to a (0 + 0)-dimensional integral over a unitary matrix, which is the holonomy (Wilson loop) of the gauge field around the thermal time circle in Euclidean space; deconfinement transitions are largetransitions in this matrix integral.