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arXiv 1209.4243hep-phhep-lathep-th
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1+1维O(3)模型的热力学:晶格与解析结果

Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results

Elina Seel, Dominik Smith, Stefano Lottini, Francesco Giacosa

摘要:

本文采用二粒子不可约重算公式和完全非微扰有限温度格子模拟方法,详细研究了1+1维O(N=3)模型的热力学性质。分析结果计算使用康沃尔-Jackiw-Tomboulis(CJT)形式主义和辅助场方法的一个和两个循环的顺序。通过蒙特卡罗模拟得到了不同晶格间距下的晶格结果。分析和晶格结果的压力,跟踪异常,和能量密度,密切类似的四维杨米尔斯理论,相互比较。我们发现,对于单圈阶,CJT形式主义与低温晶格研究之间存在良好的对应关系。然而,在高T的双回路计算票价更好,从以前的近似的高估校正。

英文摘要:

A detailed study of the thermodynamics of the O(N=3) model in 1+1 dimensions is presented, employing a two-particle-irreducible resummation prescription as well as fully nonperturbative finite-temperature lattice simulations. The analytical results are computed using the Cornwall-Jackiw-Tomboulis (CJT) formalism and the auxiliary field method to one- and to two-loop order. The lattice results are obtained through Monte Carlo simulation for various lattice spacings. The analytical and lattice results for pressure, trace anomaly, and energy density, resembling closely those of four-dimensional Yang-Mills theories, are compared with each other. We find that to one-loop order there is a good correspondence between the CJT formalism and the lattice study for low temperatures. However, at high T the two-loop calculation fares better, correcting for the overestimation from the former approximation.

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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