Toward the chiral phase transition in the Roberge-Weiss plane
Toward the chiral phase transition in the Roberge-Weiss plane
复制标题
罗伯格-韦斯平面中的手性相变
DOI：
10.1103/physrevd.106.014510
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发表时间：
2022
影响因子：
5
通讯作者：
A. Sciarra
中科院分区：
文献类型：
--
作者：
F. Cuteri;J. Goswami;F. Karsch;Anirban Lahiri;M. Neumann;O. Philipsen;C. Schmidt;A. Sciarra
我们讨论了 QCD 中发生的手性相变和中心扇形相变之间的相互作用，其中虚夸克化学势 µ = i (2 n +1) πT/ 3。基于使用具有物理奇夸克质量和一系列轻夸克质量的 HISQ 费米子对 (2+1) 味 QCD 进行的有限尺寸标度分析，我们表明一阶 Roberge-Weiss 线的端点对于轻夸克质量 m l ≥ m s / 320，中心扇区之间的 (RW) 跃迁是二阶，属于 3-d，Z (2) 普适类。手性凝聚态算子的行为类似于 RW 相变有效自旋模型中的类能量算子。因此，对于夸克质量的任何非零值，手性凝聚态在 RW 相变温度 T RW 处将具有无限斜率。它的波动，即不连续的手性磁化率，表现得像 Z (2) 对称模型中的比热，并且对于轻夸克质量的任何非零值，在 RW 相变温度 T RW 下的无限体积极限中发散。我们的分析表明 RW 相变和手性相变的临界温度在 RW 平面上重合。在时间范围 N τ = 4 的晶格上，我们发现手性极限 T χ = T RW = 195(1) MeV。
We discuss the interplay between chiral and center sector phase transitions that occur in QCD with an imaginary quark chemical potential µ = i (2 n +1) πT/ 3. Based on a finite size scaling analysis in (2+1)-flavor QCD using HISQ fermions with a physical strange quark mass and a range of light quark masses, we show that the endpoint of the line of first-order Roberge-Weiss (RW) transitions between center sectors is second order for light quark masses m l ≥ m s / 320, and that it belongs to the 3-d, Z (2) universality class. The operator for the chiral condensate behaves like an energy-like operator in an effective spin model for the RW phase transition. As a consequence, for any non-zero value of the quark mass, the chiral condensate will have an infinite slope at the RW phase transition temperature, T RW . Its fluctuation, the disconnected chiral susceptibility, behaves like the specific heat in Z (2) symmetric models and diverges in the infinite volume limit at the RW phase transition temperature T RW for any non-zero value of the light quark masses. Our analysis suggests the critical temperatures for the RW phase transition and the chiral phase transition coincide in the RW plane. On lattices with temporal extent N τ = 4, we find in the chiral limit T χ = T RW = 195(1) MeV.
DOI：
--
发表时间：
2006
期刊：
--
影响因子：
--
作者：
Iroon Polytechniou-
通讯作者：
Iroon Polytechniou-