Domain-Wall Fermion with $ R_5 $ Symmetry - INSPIRE

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Domain-Wall Fermion with $R_5$ Symmetry

Ting-Wai Chiu
(
- Taiwan, Natl. Taiwan U.
)

Mar 5, 2015

6 pages

Published in:

Phys.Lett.B 744 (2015) 95-100

Published: Mar 20, 2015

e-Print:

1503.01750 [hep-lat]

DOI:

10.1016/j.physletb.2015.03.036

Report number:

NTUTH-15-505A

View in:

ADS Abstract Service

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Abstract: (Elsevier)

We present the domain-wall fermion operator which is reflection symmetric in the fifth dimension, with the approximate sign function S(H) of the effective 4-dimensional Dirac operator satisfying the bound |1−S(λ)|≤2dZ for λ2∈[λmin2,λmax2] , where dZ is the maximum deviation |1−xRZ(x)|max of the Zolotarev optimal rational polynomial RZ(x) of 1/x for x∈[1,λmax2/λmin2] , with degrees (n−1,n) for Ns=2n , and (n,n) for Ns=2n+1 .

Note:

This work is dedicated to late Professor James S. Ball

fermion: domain wall
fermion: operator
quantum chromodynamics: lattice
fermion: lattice field theory
operator: Dirac
dimension: 5
symmetry: reflection
numerical calculations
quark: domain wall
quark: flavor: 3

References(16)

Figures(5)

[1]

A Method for simulating chiral fermions on the lattice

David B. Kaplan
(
- UC, San Diego
)

- Phys.Lett.B 288 (1992) 342-347
•
e-Print:
- hep-lat/9206013
•
DOI:
- 10.1016/0370-2693(92)91112-M

[2]

Exactly massless quarks on the lattice

Herbert Neuberger
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 417 (1998) 141-144
•
e-Print:
- hep-lat/9707022
•
DOI:
- 10.1016/S0370-2693(97)01368-3

[3]

A Construction of lattice chiral gauge theories

- Nucl.Phys.B 443 (1995) 305-385
•
e-Print:
- hep-th/9411108
•
DOI:
- 10.1016/0550-3213(95)00111-5

[4]

The Spectrum and topological charge of exactly massless fermions on the lattice

Ting-Wai Chiu
(
- Taiwan, Natl. Taiwan U.
)

- Phys.Rev.D 58 (1998) 074511
•
e-Print:
- hep-lat/9804016
•
DOI:
- 10.1103/PhysRevD.58.074511

[5]

Hybrid Monte Carlo

- Phys.Lett.B 195 (1987) 216-222
•
DOI:
- 10.1016/0370-2693(87)91197-X

[6]

Dynamical overlap fermions, results with hybrid Monte Carlo algorithm

Z. Fodor
(
- Wuppertal U. and
- Eotvos U.
)
,
S.D. Katz
(
- Wuppertal U. and
- DESY
)
,
K.K. Szabo
(
- Wuppertal U. and
- Eotvos U.
)

- JHEP 08 (2004) 003
•
e-Print:
- hep-lat/0311010
•
DOI:
- 10.1088/1126-6708/2004/08/003

[7]

Simulating an arbitrary number of flavors of dynamical overlap fermions

Thomas DeGrand
(
- Colorado U.
)
,
Stefan Schaefer
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

- JHEP 07 (2006) 020
•
e-Print:
- hep-lat/0604015
•
DOI:
- 10.1088/1126-6708/2006/07/020

[8]

Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion

TWQCD

Collaboration

•

Ting Wai Chiu
(
- Taiwan, Natl. Taiwan U.
)

et al.

- Phys.Lett.B 702 (2011) 131-134
•
e-Print:
- 1105.4414
•
DOI:
- 10.1016/j.physletb.2011.06.070

[9]

Decay Constants of Pseudoscalar $D$ -mesons in Lattice QCD with Domain-Wall Fermion

TWQCD

Collaboration

•

Wen-Ping Chen
(
- Taiwan, Natl. Taiwan U.
)

et al.

- Phys.Lett.B 736 (2014) 231-236
•
e-Print:
- 1404.3648
•
DOI:
- 10.1016/j.physletb.2014.07.025

[10]

Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion

TWQCD

Collaboration

•

Yu-Chih Chen
(
- Taiwan, Natl. Taiwan U.
)

et al.

- Phys.Lett.B 738 (2014) 55-60
•
e-Print:
- 1403.1683
•
DOI:
- 10.1016/j.physletb.2014.09.016

[11]

Optimal domain wall fermions

Ting-Wai Chiu
(
- Washington U., Seattle and
- Taiwan, Natl. Taiwan U.
)

- Phys.Rev.Lett. 90 (2003) 071601
•
e-Print:
- hep-lat/0209153
•
DOI:
- 10.1103/PhysRevLett.90.071601

[12]

Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion

TWQCD

Collaboration

•

Yu-Chih Chen
(
- Taiwan, Natl. Taiwan U.
)

et al.

- Phys.Rev.D 86 (2012) 094508
•
e-Print:
- 1205.6151
•
DOI:
- 10.1103/PhysRevD.86.094508

[13]

Zap. Imp. Akad. Nauk. St. Petersburg, 30 (1877), no. 5

E.I. Zolotarev

[13]

reprinted in his Collected works, Vol. 2, Izdat, Akad. Nauk SSSR, Moscow,, p. 1-59

[14]

Elements of the theory of elliptic functions

N.I. Akhiezer

[15]

A Note on the Zolotarev optimal rational approximation for the overlap Dirac operator

- Phys.Rev.D 66 (2002) 114502
•
e-Print:
- hep-lat/0206007
•
DOI:
- 10.1103/PhysRevD.66.114502