Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD
نویسنده
چکیده
We calculate one-loop renormalization factors of bilinear operators made of physical quark fields for domain-wall QCD. We find that finite parts of such renormalization factors have reasonable values at 1-loop except an overlap factor between the physical quark field and the zero mode in the theory. We point out that the 1-loop estimate of overall renormalization factors becomes unreliable at the coupling where numerical simulations are currently performed, due to the presence of this overlap factor. We show that this problem disappears if the mean-field improved perturbation theory is employed for renormalization factors. Typeset using REVTEX ∗On leave from Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization(KEK), Tsukuba, Ibaraki 305-0801, Japan
منابع مشابه
Perturbative renormalization factors in domain-wall QCD with improved gauge actions
We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, threeand four-quark operators in MS scheme with the dimensional reduction(DRED) as well as the naive dimensional regularization(NDR). We also present detailed results...
متن کاملNon-perturbative renormalization of four-quark operators and BK with Schrödinger functional scheme in quenched domain-wall QCD
We present non-perturbative renormalization factors for ∆S = 2 four-quark operators in quenched domain-wall QCD using the Schrödinger functional method. Non-perturbative renormalization factor for BK is evaluated at hadronic scale. Combined with the non-perturbative RG running obtained by the Alpha collaboration, our result yields renormalization factor which converts lattice bare BK to the ren...
متن کاملPerturbative renormalization factors of three- and four-quark operators for domain-wall QCD
Renormalization factors for threeand four-quark operators, which appear in the low energy effective Lagrangian of the proton decay and the weak interactions, are perturbatively calculated in domain-wall QCD. We find that the operators are multiplicatively renormalizable up to one-loop level without mixing with any other operators that have different chiral structures. As an application, we eval...
متن کاملPerturbative Renormalization Factors of Bilinear Quark Operators for Improved Gluon and Quark Actions in Lattice QCD
We calculate one-loop renormalization factors of bilinear quark operators for gluon action including six-link loops and O(a)-improved quark action in the limit of massless quark. We find that finite parts of one-loop coefficients of renormalization factors diminish monotonically as either of the coefficients c1 or c2 + c3 of the six-link terms are decreased below zero. Detailed numerical result...
متن کاملNon-perturbative renormalization factors of bilinear quark operators for Kogut-Susskind fermions and light quark masses in quenched QCD
Non-perturbative renormalization factors of bilinear quark operators for Kogut-Susskind fermions and light quark masses in quenched QCD ∗ JLQCD Collaboration : S. Aoki , M. Fukugita , S. Hashimoto , K-I. Ishikawa , N. Ishizuka , Y. Iwasaki a,e K. Kanaya , T. Kaneda , S. Kaya , Y. Kuramashi , M. Okawa , T. Onogi , S. Tominaga , N. Tsutsui , A. Ukawa , N. Yamada , T. Yoshié a,e a Institute of Phy...
متن کامل