arXiv 1710.006112017-10hep-lat

各向异性格点上的强耦合格点量子色动力学

Strong-Coupling Lattice QCD on Anisotropic Lattices

Philippe de Forcrand, Wolfgang Unger, Helvio Vairinhos

备注：: 11 pages, 9 figures, 3 tables; v2: revtex4 format, references added, minor extensions, matches published version
发表信息：: Phys. Rev. D 97, 034512 (2018)
DOI：: 10.1103/PhysRevD.97.034512

摘要：

各向异性的晶格间距是强制性的，以达到高温，其中手征对称性是恢复在强耦合极限的格点量子色动力学。在这里，我们提出了一个简单的准则，非微扰重整化的各向异性耦合在强耦合SU（$N$）或U（$N$）格点量子色动力学与无质量交错费米子。然后，我们计算重整化的各向异性，和强耦合模拟的Karsch系数（运行各向异性），为$N=3$。我们实现了高精度相结合的图解蒙特卡罗和多直方图重新加权技术。我们观察到，在连续的时间限制的平均场预测捕获的非微扰标度，但收到一个大的，以前被忽视的单位前因子的校正。使用我们的非微扰处方的平均场的结果，我们观察到大的修正相同幅度的静态重子质量的连续时间限制，和与手征对称性恢复相边界的位置。特别是，在不同的有限晶格上评估的相边界对晶格时间范围的依赖性显著较小。作为副产品，我们还估计了零温强耦合极限下无质量SU（3）QCD的π衰变常数和手征凝聚。

英文摘要：

Anisotropic lattice spacings are mandatory to reach the high temperatures where chiral symmetry is restored in the strong coupling limit of lattice QCD. Here, we propose a simple criterion for the nonperturbative renormalisation of the anisotropy coupling in strongly-coupled SU($N$) or U($N$) lattice QCD with massless staggered fermions. We then compute the renormalised anisotropy, and the strong-coupling analogue of Karsch's coefficients (the running anisotropy), for $N=3$. We achieve high precision by combining diagrammatic Monte Carlo and multi-histogram reweighting techniques. We observe that the mean field prediction in the continuous time limit captures the nonperturbative scaling, but receives a large, previously neglected correction on the unit prefactor. Using our nonperturbative prescription in place of the mean field result, we observe large corrections of the same magnitude to the continuous time limit of the static baryon mass, and of the location of the phase boundary associated with chiral symmetry restoration. In particular, the phase boundary, evaluated on different finite lattices, has a dramatically smaller dependence on the lattice time extent. We also estimate, as a byproduct, the pion decay constant and the chiral condensate of massless SU(3) QCD in the strong coupling limit at zero temperature.

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英文摘要：

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