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

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

TWQCD

Collaboration

•

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

May, 2012

20 pages

Published in:

Phys.Rev.D 86 (2012) 094508

e-Print:

1205.6151 [hep-lat]

DOI:

10.1103/PhysRevD.86.094508

Report number:

NTUTH-12-505A

View in:

ADS Abstract Service

reference search22 citations

Citations per year

Abstract: (arXiv)

We derive the axial Ward identity for lattice QCD with domain-wall fermions, and from which we obtain a formula for the residual mass (45)-(46), that can be used to measure the chiral symmetry breaking due to the finite extension Ns in the fifth dimension. Furthermore, we obtain an upper bound for the residual mass in lattice QCD with the optimal domain-wall fermion.

Note:

27 pages, 3 figures, v3: new formula for the upper-bound of residual mass

12.38.Gc
11.30.Rd
11.15.Ha
fermion: domain wall
symmetry breaking: chiral
Ward identity: axial
symmetry: chiral
dimension: 5
lattice field theory
finite temperature

References(20)

Figures(3)

[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

[2]

R. Narayanan
,
H. Neuberger

[2]

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

[3]

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

[4]

Locality of optimal lattice domain wall fermions

Ting-Wai Chiu
(
)

- Phys.Lett.B 552 (2003) 97-100
•
e-Print:
- hep-lat/0211032
•
DOI:
- 10.1016/S0370-2693(02)03099-X

[5]

Theory of approximation

N.I. Akhiezer

[6]

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

[7]

Aspects of Domain-Wall Fermion on the Lattice

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

- Phys.Lett.B 716 (2012) 461-464
•
e-Print:
- hep-lat/0303008
•
DOI:
- 10.1016/j.physletb.2012.08.057

[7]

Recent developments of domain wall overlap fermions for lattice QCD

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

- Nucl.Phys.B Proc.Suppl. 129 (2004) 135-141,
•
e-Print:
- hep-lat/0310043
•
DOI:
- 10.1016/S0920-5632(03)02514-3

[8]

On solutions of the Ginsparg-Wilson relation

- Phys.Rev.D 59 (1999) 074501
•
e-Print:
- hep-lat/9806019
•
DOI:
- 10.1103/PhysRevD.59.074501

[9]

Chiral fermions from lattice boundaries

Yigal Shamir
(
- Weizmann Inst.
)

- Nucl.Phys.B 406 (1993) 90-106
•
e-Print:
- hep-lat/9303005
•
DOI:
- 10.1016/0550-3213(93)90162-I

[10]

Truncated overlap fermions

A. Borici
(
- PSI, Villigen
)

- Nucl.Phys.B Proc.Suppl. 83 (2000) 771-773
•
e-Print:
- hep-lat/9909057
•
DOI:
- 10.1016/S0920-5632(00)91802-4

[11]

Mobius fermions: Improved domain wall chiral fermions

- Nucl.Phys.B Proc.Suppl. 140 (2005) 686-688,
•
e-Print:
- hep-lat/0409118
•
DOI:
- 10.1016/j.nuclphysbps.2004.11.180

[12]

Axial symmetries in lattice QCD with Kaplan fermions

Vadim Furman
(
- Tel Aviv U.
)
,
Yigal Shamir
(
- Weizmann Inst.
)

- Nucl.Phys.B 439 (1995) 54-78
•
e-Print:
- hep-lat/9405004
•
DOI:
- 10.1016/0550-3213(95)00031-M

[13]

A Remnant of Chiral Symmetry on the Lattice

- Phys.Rev.D 25 (1982) 2649
•
DOI:
- 10.1103/PhysRevD.25.2649

[14]

Comparison of chiral fermion methods

Robert G. Edwards
(
- Jefferson Lab
)
,
Balint Joo
(
- Edinburgh U.
)
,
Anthony D. Kennedy
(
- Edinburgh U.
)
,
Kostas Orginos
(
- Jefferson Lab and
- William-Mary Coll.
)
,
Urs Wenger
(
- NIC, Zeuthen
)

- PoS LAT2005 (2006) 146
•
e-Print:
- hep-lat/0510086
•
DOI:
- 10.22323/1.020.0146

[15]

Localization and chiral symmetry in three flavor domain wall QCD

RBC and
UKQCD

Collaborations

•

David J. Antonio
(
- Edinburgh U.
)

et al.

- Phys.Rev.D 77 (2008) 014509
•
e-Print:
- 0705.2340
•
DOI:
- 10.1103/PhysRevD.77.014509

[16]

The Möbius domain wall fermion algorithm

Richard C. Brower
(
- Boston U.
)
,
Harmut Neff
(
- Unlisted, CH
)
,
Kostas Orginos
(
- William-Mary Coll. and
- Jefferson Lab
)

- Comput.Phys.Commun. 220 (2017) 1-19
•
e-Print:
- 1206.5214
•
DOI:
- 10.1016/j.cpc.2017.01.024

[17]

Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion

TWQCD

Collaboration

•

Ting-Wai Chiu
(
- Taiwan, Natl. Taiwan U. and
- NCTS, Taipei
)

et al.

- Phys.Lett.B 717 (2012) 420-424
•
e-Print:
- 1109.3675
•
DOI:
- 10.1016/j.physletb.2012.09.067