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The Axial anomaly of Ginsparg-Wilson fermion

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

Sep, 1998

10 pages

Published in:

Phys.Lett.B 445 (1999) 371-377

e-Print:

hep-lat/9809013 [hep-lat]

DOI:

10.1016/S0370-2693(98)01511-1

Report number:

NTUTH-98-090

View in:

ADS Abstract Service

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Abstract:

The axial anomaly of Ginsparg-Wilson fermion operator

D

is discussed in general for the operator

R

which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of

D

as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator

D_c

in the chiral limit

R \to 0

.

Note:

12 pages, latex, references updated, the version to appear in Phys. Lett. B Report-no: NTUTH-98-090 Subj-class: High Energy Physics - Lattice; Strongly Correlated Electrons

11.15.Ha
11.30.Rd
11.30.Fs
lattice field theory
fermion: operator
anomaly: axial
symmetry breaking: chiral
index theorem
Ginsparg-Wilson relation

References(15)

Figures(0)

A Remnant of Chiral Symmetry on the Lattice

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

Chirality on the lattice

H. Neuberger
(
- Rutgers U., Piscataway
)

- ,
- In *Vancouver 1998, High energy physics, vol. 2* 1781-1785
•
e-Print:
- hep-lat/9808036

Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation

Martin Luscher
(
- DESY
)

- Phys.Lett.B 428 (1998) 342-345
•
e-Print:
- hep-lat/9802011
•
DOI:
- 10.1016/S0370-2693(98)00423-7

Absence of Neutrinos on a Lattice. 1. Proof by Homotopy Theory

Holger Bech Nielsen
(
- Bohr Inst. and
- Nordita
)
,
M. Ninomiya
(
- Rutherford
)

- Nucl.Phys.B 185 (1981) 20,
- Nucl.Phys.B 195 (1982) 541 (erratum),
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 533-555. ( Nucl. Phys. B185 ( 1981) 20-40). ( Nucl. Phys. B195 ( 1982) 541-542) and Chilton Rutherford Lab. - RL-80-090 (80,REC.JAN.81) 46p
•
DOI:
- 10.1016/0550-3213(82)90011-6

Absence of Neutrinos on a Lattice. 2. Intuitive Topological Proof

Holger Bech Nielsen
(
- Bohr Inst. and
- Nordita
)
,
M. Ninomiya
(
- Rutherford
)

- Nucl.Phys.B 193 (1981) 173-194
•
DOI:
- 10.1016/0550-3213(81)90524-1

The Index theorem in QCD with a finite cutoff

- Phys.Lett.B 427 (1998) 125-131
•
e-Print:
- hep-lat/9801021
•
DOI:
- 10.1016/S0370-2693(98)00315-3

Topology and the axial anomaly in Abelian lattice gauge theories

Martin Luscher
(
- DESY
)

- Nucl.Phys.B 538 (1999) 515-529
•
e-Print:
- hep-lat/9808021
•
DOI:
- 10.1016/S0550-3213(98)00680-4

On solutions of the Ginsparg-Wilson relation

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

Chiral structure of the solutions of the Ginsparg-Wilson relation

- Phys.Lett.B 438 (1998) 321-326
•
e-Print:
- hep-lat/9806031
•
DOI:
- 10.1016/S0370-2693(98)00982-4

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

More about exactly massless quarks on the lattice

Herbert Neuberger
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 427 (1998) 353-355
•
e-Print:
- hep-lat/9801031
•
DOI:
- 10.1016/S0370-2693(98)00355-4

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

Lattice QCD without tuning, mixing and current renormalization

Peter Hasenfratz
(
- Bern U.
)

- Nucl.Phys.B 525 (1998) 401-409
•
e-Print:
- hep-lat/9802007
•
DOI:
- 10.1016/S0550-3213(98)00399-X

Lattice QCD with Ginsparg-Wilson fermions

Shailesh Chandrasekharan
(
- Duke U.
)

- Phys.Rev.D 60 (1999) 074503
•
e-Print:
- hep-lat/9805015
•
DOI:
- 10.1103/PhysRevD.60.074503

Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly

Yoshio Kikukawa
(
- Kyoto U.
)
,
Atsushi Yamada
(
- Tokyo U.
)

- Phys.Lett.B 448 (1999) 265-274
•
e-Print:
- hep-lat/9806013
•
DOI:
- 10.1016/S0370-2693(99)00021-0