大Nf规范理论中共形相的热力学研究
Thermodynamic Study for Conformal Phase in Large Nf Gauge Theory
摘要：
本文研究了六种费米子（Nf = 6）在色SU（3）量子色动力学（QCD）中有限温度（T）下的手征相变.用改进的交错费米子格点量子色动力学进行了模拟。观察到的手征相变的临界耦合（bc）的几个时间扩展Nt，和双回路渐近标度的无量纲比Tc/Lambda_L（Lambda_L =晶格λ参数）被发现实现Nt >= 6。此外，我们在Nf = 0（猝灭）时收集bc，在固定Nt = 6时收集Nf = 4，以及在Nt = 6和12时收集Nf = 8，后者依赖于我们先前的研究。结果是一致的，在更大的Nf与增强的费米子屏蔽。在Nf = 0-4的区域中，比值Tc/Lambda_L非常温和地依赖于Nf，在Nf = 6时开始增加，并且在Nf = 8时显著增长，因为Nf到达共形窗口的边缘。我们讨论的结果与预共形动力学的泛函重整化群分析的光的相互关系。
英文摘要：
We investigate the chiral phase transition at finite temperature (T) in colour SU(3) Quantum Chromodynamics (QCD) with six species of fermions (Nf = 6) in the fundamental representation. The simulations have been performed by using lattice QCD with improved staggered fermions. The critical couplings (bc) for the chiral phase transition are observed for several temporal extensions Nt, and the two-loop asymptotic scaling of the dimensionless ratio Tc/Lambda_L (Lambda_L = Lattice Lambda-parameter) is found to be achieved for Nt >= 6. Further, we collect bc at Nf = 0 (quenched), and Nf = 4 at a fixed Nt = 6 as well as Nf = 8 at Nt = 6 and 12, the latter relying on our earlier study. The results are consistent with enhanced fermionic screening at larger Nf. The ratio Tc/Lambda_L depends very mildly on Nf in the Nf = 0-4 region, begins increasing at Nf = 6, and significantly grows up at Nf = 8, as Nf reaches to the edge of the conformal window. We discuss the interrelation of the results with preconformal dynamics in the light of a functional renormalization group analysis.
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