arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0706.4153hep-lathep-ph
收藏

猝灭格点量子色动力学中静光四费米子算符的非微扰重整化

Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD

Filippo Palombi, Mauro Papinutto, Carlos Pena, Hartmut Wittig

摘要:

在猝灭格点量子色动力学中,我们对$Δ{B}=2$奇宇称四费米子算符的乘法重正化基的标度相关重正化因子进行了非微扰研究。重夸克在静态近似中处理,并对静态作用量作了各种格点离散。轻夸克用非微扰的${\rm O}(a)$改进的Wilson型费米子来描述。在连续极限下,利用有限体积方法计算了一族Schroedinger泛函(SF)格式的重整化群。我们非微扰地计算了在低能尺度下的重整化群不变算子和它们在SF中重整化的对应算子之间的关系。此外,我们提供非微扰估计的晶格正则化理论和所有的SF计划之间的匹配。

英文摘要:

We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of $Δ{B}=2$ parity-odd four-fermion operators in quenched lattice QCD. Heavy quarks are treated in the static approximation with various lattice discretizations of the static action. Light quarks are described by non-perturbatively ${\rm O}(a)$ improved Wilson-type fermions. The renormalization group running is computed for a family of Schroedinger functional (SF) schemes through finite volume techniques in the continuum limit. We compute non-perturbatively the relation between the renormalization group invariant operators and their counterparts renormalized in the SF at a low energy scale. Furthermore, we provide non-perturbative estimates for the matching between the lattice regularized theory and all the SF schemes considered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑