Non-perturbative renormalization of lattice four-fermion operators without power subtractions
Non-perturbative renormalization of lattice four-fermion operators without power subtractions
复制标题
无幂减法的格四费米子算子的非微扰重整化
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Vladikas
中科院分区：
文献类型：
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作者：
A. Donini;V. Gimenez;G. Martinelli;M. Talevi;A. Vladikas
抽象。本文在Wilson费米子格点正则化的框架下，用非微扰方法分析了$Delta I=3/2$四费米子算符的重整化性质。本文讨论了格点正则化无关（RI或RNN）方案中算符重整化常数的非微扰确定。我们还讨论了由Ward恒等式确定有限格减系数的问题。我们证明，在大的外部虚拟性，晶格混合系数的测定，使用RI重整化方案，相当于基于沃德身份，在连续和手征限制。作为我们的方法的可行性研究，我们计算了混合矩阵在几个重整化尺度，为三个值的晶格耦合。eta$，使用Wilson和树级改进的SW-Clover动作。
Abstract. A general nonperturbative analysis of the renormalization properties of $Delta I=3/2$ four-fermion operators in the framework of lattice regularization with Wilson fermions is presented. We discuss the nonperturbative determination of the operator renormalization constants in the lattice regularization independent (RI or MOM) scheme. We also discuss the determination of the finite lattice subtraction coefficients from Ward identities. We prove that, at large external virtualities, the determination of the lattice mixing coefficients, obtained using the RI renormalization scheme, is equivalent to that based on Ward identities, in the continuum and chiral limits. As a feasibility study of our method, we compute the mixing matrix at several renormalization scales, for three values of the lattice coupling $eta$, using the Wilson and tree-level improved SW-Clover actions.