著者

Taniguchi Yusuke

出版者

American Physical Society

雑誌

Physical review D (ISSN:05562821)

巻号頁・発行日

vol.63, no.1, pp.014502, 2000-12

被引用文献数

24 31

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The one loop correction to the SUSY Ward-Takahashi identity is calculated on the lattice with a Wilson fermion. The supersymmetry on the lattice is broken explicitly by the gluino mass and the lattice artifact. We should fine-tune the parameters in the theory to the point given by the additive mass correction in order to eliminate the breaking effect of the lattice artifact. It is shown that the additive mass correction appearing from the SUSY Ward-Takahashi identity coincide with that from the axial U(1)R symmetry, as suggested by Curci and Veneziano. Two important symmetries of the super Yang-Mills theory can be recovered simultaneously in the continuum with a single fine-tuning. The operator mixing of the supercurrent is also investigated. We find that the supercurrent mixes only with a gauge-invariant current Tμ which is related to the gamma-trace anomaly.

著者

Aoki Sinya Nagai Kei-ichi Taniguchi Yusuke Ukawa Akira

出版者

American Physical Society

雑誌

Physical review.D (ISSN:15507998)

巻号頁・発行日

vol.58, no.7, pp.074505, 1998-10

被引用文献数

44 90

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We calculate one-loop renormalization factors of bilinear quark operators for the gluon action includingsix-link loops and an O(a)-improved quark action in the limit of a massless quark. We find that finite parts ofthe one-loop coefficients of renormalization factors diminish monotonically as either of the coefficients c1 orc21c3 of the six-link terms is decreased below zero. Detailed numerical results are given, for general valuesof the clover coefficient, for the tree-level improved gluon action in the Symanzik approach (c1521/12,c25c350) and for the choices suggested by Wilson (c1520.252,c250,c3520.17) and by Iwasaki (c1520.331,c25c350 and c1520.27,c21c3520.04) from renormalization-group analyses. Compared with thecase of the standard plaquette gluon action, the finite parts of the one-loop coefficients are reduced by 10–20 %for the Symanzik action, and approximately by a factor of 2 for the renormalization-group improved gluonactions.

著者

Taniguchi Yusuke Ukawa Akira

出版者

American Physical Society

雑誌

Physical review D (ISSN:05562821)

巻号頁・発行日

vol.58, no.11, pp.114503, 1998-10

被引用文献数

38 60

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We calculate the O(g2a) mixing coefficients of bilinear quark operators in lattice QCD using a standard perturbative evaluation of on-shell Green’s functions. Our results for the plaquette gluon action are in agreement with those previously obtained with the Schrödinger functional method. The coefficients are also calculated for a class of improved gluon actions having six-link terms.

著者

Taniguchi Yusuke

出版者

Institute of Physics Publishing

雑誌

Journal of high energy physics (ISSN:11266708)

巻号頁・発行日

vol.2006, no.10, pp.027, 2006-09

被引用文献数

9

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Finite volume renormalization scheme is one of the most fascinating scheme for non-perturbative renormalization on lattice. By using the step scaling function one can follow running of renormalized quantities with reasonable cost. It has been established the Schrödinger functional is very convenient to define a field theory in a finite volume for this purpose. The Schrödinger functional, which is characterized by a Dirichlet boundary condition in temporal direction, is well defined and works well for the Yang-Mills theory and QCD. Furthermore it matches well with lattice regularization. However one easily runs into difficulties if one sets the same sort of the Dirichlet boundary condition for the overlap Dirac operator or the domain-wall fermion on lattice. In this paper we propose an orbifolding projection procedure to impose the Schrödinger functional Dirichlet boundary condition on the domain-wall fermion.