scholarly journals Improved study of the β -function of SU(3) gauge theory with Nf=10 massless domain-wall fermions

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Ting-Wai Chiu
Keyword(s):  
Gauge Theory ◽  
Domain Wall ◽  
Domain Wall Fermions ◽  
Β Function

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 SU(2) gauge theory with many flavors of domain-wall fermions

2015 ◽  
Author(s):  
Hideo Matsufuru ◽  
Kei-ichi Nagai ◽  
Norikazu Yamada
Keyword(s):  
Gauge Theory ◽  
Domain Wall ◽  
Domain Wall Fermions
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