Sign problem in a Z3-symmetric effective Polyakov-line model
Sign problem in a Z3-symmetric effective Polyakov-line model
复制标题
Z3 对称有效波利亚科夫线模型中的符号问题
DOI：
10.1103/physrevd.96.074031
复制
发表时间：
2017
影响因子：
5
通讯作者：
Masanobu Yahiro
中科院分区：
文献类型：
--
作者：
Takehiro Hirakida;Junpei Sugano;Hiroaki Kouno;Junichi Takahashi;Masanobu Yahiro
作为对应于非对称QCD（-QCD）的有效模型，我们利用对数费米子有效作用量构造了非对称有效Polyakov线模型（-EPLM）。由于-QCD在零温极限下趋向于QCD，-EPLM在零温极限下也与普通的有效Polyakov线模型（EPLM）一致，注意（普通的）EPLM不具有对称性。我们的主要目的是讨论EPLM中出现的一个符号问题。当Polyakov线是真实的且它的象也是真实的时，-EPLM的作用是真实的。这表明符号问题在EPLM中比在EPLM中变得更温和。为了证实这一建议，我们做晶格模拟EPLM和EPLM通过使用重加权方法与相位淬火近似。在低温区，符号问题是温和的EPLM比EPLM。我们还提出了一种新的加权方法。这使得符号问题在EPLM中非常弱。
As an effective model corresponding to-symmetric QCD (-QCD), we construct a-symmetric effective Polyakov-line model (-EPLM) by using the logarithmic fermion effective action. Since-QCD tends to QCD in the zero-temperature limit,-EPLM also agrees with the ordinary effective Polyakov-line model (EPLM) there; note that (ordinary) EPLM does not possesssymmetry. Our main purpose is to discuss a sign problem appearing in-EPLM. The action of-EPLM is real when not only the Polyakov line is real but also itsimages. This suggests that the sign problem becomes milder in-EPLM than in EPLM. In order to confirm this suggestion, we do lattice simulations for both EPLM and-EPLM by using the reweighting method with the phase quenched approximation. In the low-temperature region, the sign problem is milder in-EPLM than in EPLM. We also propose a new reweighting method. This makes the sign problem very weak in-EPLM.