标题： 手征对称性和BRST对称性破缺，四元数实数性和格点模拟 显示英文标题

标题： Chiral Symmetry and BRST Symmetry Breaking, Quaternion Reality and the Lattice Simulation

摘要： 我们讨论了在淬火格点模拟中Kugo-Ojima色禁闭参数$u(0)$偏离-1以及在全QCD模拟中与-1的一致性可能归因于由费米子定义的边界条件，该边界条件限定在$r<1$fm 的区域内。通过使用格点模拟中的域墙费米子传播子，我们表明，当假设左壁上的左手费米子和右壁上的右手费米子由自对偶规范场关联时，红外区的手征对称性破缺会变得明显。讨论了格点模拟中测量的跑动耦合的红外不动点、BLM重整化理论的预测、非超对称超对称理论中使用t'Hooft反常匹配条件的共形场论以及四元数实条件之间的关系。 显示英文摘要

摘要： We discuss that the deviation of the Kugo-Ojima color confinement parameter $u(0)$ from -1 in the case of quenched lattice simulation and the consistency with -1 in the case of full QCD simulation could be attributed to the boundary condition defined by fermions inside the region of $r<1$fm. By using the domain wall fermion propagator in lattice simulation, we show that the chiral symmetry breaking in the infrared can become manifest when one assumes that the left-handed fermion on the left wall and the right-handed fermion on the right wall are correlated by a self-dual gauge field. The relation between the infrared fixed point of the running coupling measured in lattice simulations, the prediction of the BLM renormalization theory, the conformal field theory with use of the t'Hooft anomaly matching condition in non-SUSY supersymmetric theory and the quaternion real condition are discussed.