Precision SU(3) lattice thermodynamics for a large temperature range
Precision SU(3) lattice thermodynamics for a large temperature range
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DOI：
10.1007/jhep07(2012)056
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发表时间：
2012-04
影响因子：
5.4
通讯作者：
S. Borsányi;G. Endrődi;Z. Fodor;Z. Fodor;S. Katz;K. Szabó
中科院分区：
文献类型：
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作者：
S. Borsányi;G. Endrődi;Z. Fodor;Z. Fodor;S. Katz;K. Szabó
本文从格点场论出发，给出了SU（3）规范场的物态方程（压力、迹反常、能量密度和熵密度），其精度和温度范围都是前所未有的。我们控制有限尺寸和截止效应。所研究的温度窗口（0.7... 1000 T C）从胶球为主的系统延伸到微扰制度，这使我们能够讨论这些方法的有效性范围。我们还确定了硬热环方案的优先重整化标度，并拟合了在T> 100 Tc的极端高温下未知的g6阶微扰系数。此外，我们量化的非微扰贡献的痕迹异常使用一个简单的功能形式。我们的高精度数据允许一个完整的理论描述的状态方程从T= 0的所有方式的相变，通过过渡区到微扰制度的Stefan-Boltzmann限制。我们也将讨论这一描述。
We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU (3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off effects. The studied temperature window (0.7… 1000T c) stretches from the glueball dominated system into the perturbative regime, which allows us to discuss the range of validity of these approaches. We also determine the preferred renormalization scale of the Hard Thermal Loop scheme and we fit the unknown g 6 order perturbative coefficient at extreme high temperatures T> 100T c. We furthermore quantify the nonperturbative contribution to the trace anomaly using a simple functional form. Our high precision data allows one to have a complete theoretical description of the equation of state from T= 0 all the way to the phase transition, through the transition region into the perturbative regime up to the Stefan-Boltzmann limit. We will discuss this description, too.