scholarly journals Atiyah-Patodi-Singer index from the domain-wall fermion Dirac operator

2017 ◽  
Vol 96 (12) ◽  
Author(s):  
Hidenori Fukaya ◽  
Tetsuya Onogi ◽  
Satoshi Yamaguchi
Keyword(s):  
Domain Wall ◽  
Dirac Operator ◽  
Domain Wall Fermion

scholarly journals Stochastic calculation of the QCD Dirac operator spectrum with Mobius domain-wall fermion

2016 ◽  
Author(s):  
Shoji Hashimoto ◽  
Guido Cossu ◽  
Hidenori Fukaya ◽  
Takashi Kaneko ◽  
Jun Noaki
Keyword(s):  
Domain Wall ◽  
Dirac Operator ◽  
Operator Spectrum ◽  
Domain Wall Fermion

scholarly journals Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac operator

2018 ◽  
Vol 175 ◽  
pp. 11009 ◽  
Author(s):  
Hidenori Fukaya ◽  
Tetsuya Onogi ◽  
Satoshi Yamaguchi
Keyword(s):  
Boundary Condition ◽  
Domain Wall ◽  
Dirac Operator ◽  
Index Theorem ◽  
Topological Phases ◽  
Domain Wall Fermions ◽  
Physical Boundary Condition ◽  
Domain Wall Fermion ◽  
Set Up ◽  
Physical Boundary

Recently, the Atiyah-Patodi-Singer(APS) index theorem attracts attention for understanding physics on the surface of materials in topological phases. Although it is widely applied to physics, the mathematical set-up in the original APS index theorem is too abstract and general (allowing non-trivial metric and so on) and also the connection between the APS boundary condition and the physical boundary condition on the surface of topological material is unclear. For this reason, in contrast to the Atiyah-Singer index theorem, derivation of the APS index theorem in physics language is still missing. In this talk, we attempt to reformulate the APS index in a "physicist-friendly" way, similar to the Fujikawa method on closed manifolds, for our familiar domain-wall fermion Dirac operator in a flat Euclidean space. We find that the APS index is naturally embedded in the determinant of domain-wall fermions, representing the so-called anomaly descent equations.

scholarly journals Chiral property of domain-wall fermion from eigenvalues of 4D Wilson-Dirac Operator

2002 ◽  
Vol 106-107 ◽  
pp. 718-720 ◽  
Author(s):  
S. Aoki ◽  
Y. Aoki ◽  
R. Burkhalter ◽  
S. Ejiri ◽  
M. Fukugita ◽  
...  
Keyword(s):  
Domain Wall ◽  
Dirac Operator ◽  
Chiral Property ◽  
Domain Wall Fermion

scholarly journals Optimizing the domain wall fermion Dirac operator using the R-Stream source-to-source compiler

2016 ◽  
Author(s):  
Meifeng Lin ◽  
Eric Papenhausen ◽  
M. Harper Langston ◽  
Benoit Meister ◽  
Muthu Baskaran ◽  
...  
Keyword(s):  
Domain Wall ◽  
Dirac Operator ◽  
Domain Wall Fermion

SCHRÖDINGER FUNCTIONAL FORMALISM WITH GINSPARG-WILSON FERMION

2007 ◽  
Vol 22 (07n10) ◽  
pp. 499-513
Author(s):  
YUSUKE TANIGUCHI
Keyword(s):  
Boundary Condition ◽  
Domain Wall ◽  
Dirac Operator ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Zero Mode ◽  
Functional Formalism ◽  
Wilson Fermion ◽  
Domain Wall Fermion

In this proceeding we propose a new procedure to impose the Schrödinger functional Dirichlet boundary condition on the overlap Dirac operator and the domain-wall fermion using an orbifolding projection. With this procedure the zero mode problem with Dirichlet boundary condition can easily be avoided.

scholarly journals Eigenvalues of the hermitian Wilson-Dirac operator and chiral properties of the domain-wall fermion

2001 ◽  
Vol 94 (1-3) ◽  
pp. 725-728 ◽  
Author(s):  
A. Ali Khan ◽  
S. Aoki ◽  
Y. Aoki ◽  
R. Burkhalter ◽  
S. Ejiri ◽  
...  
Keyword(s):  
Domain Wall ◽  
Dirac Operator ◽  
Domain Wall Fermion

scholarly journals Charmonium current-current correlators with Mobius domain-wall fermion

2016 ◽  
Author(s):  
Katsumasa Nakayama ◽  
Brendan Fahy ◽  
Shoji Hashimoto
Keyword(s):  
Domain Wall ◽  
Domain Wall Fermion

scholarly journals Nucleon transverse momentum-dependent parton distributions from domain wall fermion calculations at 297 MeV pion mass

2015 ◽  
Author(s):  
Michael Engelhardt ◽  
Bernhard Musch ◽  
Tanmoy Bhattacharya ◽  
Rajan Gupta ◽  
Ph. Hagler ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Domain Wall ◽  
Pion Mass ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Domain Wall Fermion
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