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arXiv 0911.2114hep-phhep-th
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规范理论热力学的规范/引力对偶模型

A gauge/gravity duality model for gauge theory thermodynamics

J. Alanen, K. Kajantie, V. Suur-Uski

摘要:

本文研究了一个运行耦合的规范理论热力学的规范/引力模型。重力侧包含一个度量和一个标量场的ananomaly,在场论侧,首先给出描述耦合的尺度依赖性的beta函数的anomaly。该模型基于将尺度与额外维坐标和β函数与重力场相关联,从而也确定了标量场势。我们研究了三种不同形式的贝塔函数的复杂性增加,并给出半解析解描述一阶或连续过渡。

英文摘要:

We study a gauge/gravity model for the thermodynamics of a gauge theory with one running coupling. The gravity side contains an ansatz for the metric and a scalar field, on the field theory side one starts by giving an ansatz for the beta function describing the scale dependence of the coupling. The model is based on relating the scale to the extra dimensional coordinate and the beta function to the gravity fields, thereby also determining the scalar field potential. We study three different forms of beta functions of increasing complexity and give semianalytic solutions describing first order or continuous transitions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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