scholarly journals Non-perturbative renormalization of four-quark operators and $B_K$ with Schr\"{o}dinger functional scheme in quenched domain-wall QCD

2008 ◽  
Author(s):  
Yousuke Nakamura
Keyword(s):  
Domain Wall ◽  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Non-perturbative renormalization in domain-wall QCD by Schrödinger functional scheme

2002 ◽  
Vol 106-107 ◽  
pp. 844-846
Author(s):  
S. Aoki ◽  
Y. Aoki ◽  
S. Ejiri ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
...  
Keyword(s):  
Domain Wall ◽  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme

2018 ◽  
Vol 33 (01) ◽  
pp. 1850012
Author(s):  
Yuko Murakami ◽  
Ken-Ichi Ishikawa
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Domain Wall ◽  
Beta Function ◽  
Boundary Operator ◽  
Tree Level ◽  
Domain Wall Fermions ◽  
Functional Scheme ◽  
Temporal Boundary ◽  
Optimal Type

In this paper, we construct the Möbius domain wall fermions (MDWFs) in the Schrödinger functional (SF) scheme for the SU(3) gauge theory by adding a boundary operator at the temporal boundary of the SF scheme setup. Using perturbation theory, we investigate the properties of several constructed MDWFs, including the optimal type domain wall, overlap, truncated domain wall, and truncated overlap fermions. We observe the universality of the spectrum of the effective four-dimensional operator at the tree-level, and fermionic contribution to the universal one-loop beta function is reproduced for MDWFs with a sufficiently large fifth-dimensional extent.

scholarly journals Perturbative renormalization factors of quark bilinear operators for domain-wall QCD

1999 ◽  
Vol 59 (9) ◽  
Author(s):  
Sinya Aoki ◽  
Taku Izubuchi ◽  
Yoshinobu Kuramashi ◽  
Yusuke Taniguchi
Keyword(s):  
Domain Wall ◽  
Bilinear Operators ◽  
Perturbative Renormalization

scholarly journals Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme

2010 ◽  
Vol 2010 (8) ◽  
Author(s):  
S. Aoki ◽  
◽  
K.-I. Ishikawa ◽  
N. Ishizuka ◽  
T. Izubuchi ◽  
...  
Keyword(s):  
Quark Mass ◽  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Perturbative renormalization factors of quark operators for domain-wall QCD

2000 ◽  
Vol 83-84 ◽  
pp. 648-650
Author(s):  
Sinya Aoki ◽  
Taku Izubuchi ◽  
Junichi Noaki ◽  
Yoshinobu Kuramashi ◽  
Y. Taniguchi
Keyword(s):  
Domain Wall ◽  
Perturbative Renormalization
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