手征对称性与BRST对称破缺、四元数实在与晶格模拟
Chiral Symmetry and BRST Symmetry Breaking, Quaternion Reality and the Lattice Simulation
摘要：
我们讨论了Kugo-Ojima色禁闭参数$u(0)$在淬灭晶格模拟下偏离-1和在QCD模拟下与-1的一致性，这可能是由于$r<1$ fm区域内的费米子所定义的边界条件所致.利用格点模拟中的畴壁费米子传播子，我们证明了当左壁的左手费米子和右壁的右手费米子由自对偶规范场关联时，红外线中的手征对称性破缺是明显的.讨论了晶格模拟中所测得的运行耦合的红外不动点与BLM重整化理论、利用非超对称理论中的t 'Hooft反常匹配条件的共形场论的预言以及四元数实条件之间的关系。
英文摘要：
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.
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