标题： 非微扰重正化重叠费米子 显示英文标题

标题： Non-perturbative renormalisation for overlap fermions

摘要： 利用非微扰技术，我们在纯QCD中计算了对于夸克双线性算符的RI-MOM方案下的重整化因子Z。我们使用重叠费米子和Lüscher-Weisz规范作用量进行计算。我们的计算是在β=8.45处进行的，格点间距为1/a=2.1 GeV，参数ρ取值为1.4。我们的结果显示，在零质量极限下，向量和赝标向量的结果有很好的一致性，这表明重叠费米子具有良好的手征性质。为了尽量减少离散化误差，我们从蒙特卡洛格林函数中减去了单圈格点微扰理论中的O(a^2)项。特别地，我们关注了用于可观测量<x>的算符。我们发现，在μ=1/a=2.1 GeV时，重整化常数Z^msbar_(v_2b) 和 Z^msbar_(v_2a) 的值略小于1.9。 显示英文摘要

摘要： Using non-perturbative techniques we have found the renormalisation factor, Z, in the RI-MOM scheme for quark bilinear operators in quenched QCD. We worked with overlap fermions using the Luescher-Weisz gauge action. Our calculation was performed at beta=8.45 at a lattice spacing of 1/a=2.1 GeV using a value of rho=1.4. Our results show good agreement between the vector and the axial vector in the zero mass limit. This shows that overlap fermions have good chiral properties. To attempt to improve the discretisation errors in our results we subtracted the O(a^2) terms in one-loop lattice perturbation theory from the Monte Carlo Green functions. In particular we paid attention to the operators for the observable <x>. We found a value for the renormalisation constants Z^msbar_(v_2b) and Z^msbar_(v_2a) just less than 1.9 at mu=1/a=2.1 GeV.