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arXiv 1706.01178hep-lat
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具有O($a$)非微扰改进Wilson费米子的有限温度3味QCD在$N_{\rm t}=10$的临界点相变

Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\rm t}=10$

Xiao-Yong Jin, Yoshinobu Kuramashi, Yoshifumi Nakamura, Shinji Takeda, Akira Ukawa

摘要:

我们研究了三味QCD的有限温度相结构,重点是在Columbia图的手征区中定位分离交叉区和一级相变区的临界点。在这项研究中,我们采用岩崎规范作用量和非微扰O($a$)改进的Wilson-Clover费米子作用量。我们讨论了有限尺寸标度分析,包括混合的磁化和能量类可观测量。利用新产生的$N_{\rm t}=8$、$10$数据对临界点进行连续外推,得到了临界赝标介子质量$m_{\rm PS,E} \lesssim 170 {\rm MeV}$和临界温度$T_{\rm E}=134(3){\rm MeV}$的上界.我们的上界估计来自于临界点的存在作为一阶相变的边缘,而交错型费米子的上界是基于它的缺席。

英文摘要:

We study the finite temperature phase structure for three-flavor QCD with a focus on locating the critical point which separates crossover and first order phase transition region in the chiral regime of the Columbia plot. In this study, we employ the Iwasaki gauge action and the non-perturvatively O($a$) improved Wilson-Clover fermion action. We discuss the finite size scaling analysis including the mixing of magnetization-like and energy-like observables. We carry out the continuum extrapolation of the critical point using newly generated data at $N_{\rm t}=8$, $10$ and estimate the upper bound of the critical pseudo-scalar meson mass $m_{\rm PS,E} \lesssim 170 {\rm MeV}$ and the critical temperature $T_{\rm E}=134(3){\rm MeV}$. Our estimate of the upper bound is derived from the existence of the critical point as an edge of the 1st order phase transition while that of the staggered-type fermions is based on its absence.

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