A numerical treatment of Neuberger's lattice Dirac operator - INSPIRE

DataBETA

A numerical treatment of Neuberger's lattice Dirac operator

Jan, 2000

14 pages

Part of Numerical challenges in lattice quantum chromodynamics. Proceedings, Joint Interdisciplinary Workshop, Wuppertal, Germany, August 22-24, 1999, 29-39

Contribution to:

Interdisciplinary Workshop on Numerical Challenges in Lattice QCD, 29-39

e-Print:

hep-lat/0001008 [hep-lat]

Report number:

CERN-TH-99-376,
CPT-99-PE-3916,
LAPTH-CONF-771-99

View in:

reference search27 citations

Citations per year

Abstract:

We describe in some detail our numerical treatment of Neuberger's lattice Dirac operator as implemented in a practical application. We discuss the improvements we have found to accelerate the numerical computations and give an estimate of the expense when using this operator in practice.

talk: Wuppertal 1999/08/22
fermion: lattice field theory
operator: Dirac
gauge field theory: SU(3)
Ginsparg-Wilson relation
numerical calculations: Monte Carlo

References(18)

Figures(0)

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

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

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

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

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

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

Prospects for perfect actions

P. Hasenfratz
(
- Bern U.
)

- Nucl.Phys.B Proc.Suppl. 63 (1998) 53-58,
•
e-Print:
- hep-lat/9709110
•
DOI:
- 10.1016/S0920-5632(97)00696-8

A Remnant of Chiral Symmetry on the Lattice

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

Exact chiral symmetry, topological charge and related topics

Ferenc Niedermayer
(
- PSI, Villigen
)

- Nucl.Phys.B Proc.Suppl. 73 (1999) 105-119,
•
e-Print:
- hep-lat/9810026
•
DOI:
- 10.1016/S0920-5632(99)85011-7

Domain wall fermions in vector gauge theories

T. Blum
(
- Brookhaven
)

- Nucl.Phys.B Proc.Suppl. 73 (1999) 167-179,
•
e-Print:
- hep-lat/9810017
•
DOI:
- 10.1016/S0920-5632(99)85016-6

Finite size scaling of the quark condensate in quenched lattice QCD

- Phys.Lett.B 469 (1999) 198-204
•
e-Print:
- hep-lat/9907022
•
DOI:
- 10.1016/S0370-2693(99)01244-7

Chiral symmetry breaking from Ginsparg-Wilson fermions

- Nucl.Phys.B Proc.Suppl. 83 (2000) 633-635
•
e-Print:
- hep-lat/9909026
•
DOI:
- 10.1016/S0920-5632(00)00379-0

The Overlap Dirac operator

Herbert Neuberger
(
- Rutgers U., Piscataway
)

- ,
•
e-Print:
- hep-lat/9910040

Lanczos approach to the inverse square root of a large and sparse matrix

Artan Borici
(
- PSI, Villigen
)

- J.Comput.Phys. 162 (2000) 123-131
•
e-Print:
- hep-lat/9910045
•
DOI:
- 10.1006/jcph.2000.6529

Locality properties of Neuberger's lattice Dirac operator

- Nucl.Phys.B 552 (1999) 363-378
•
e-Print:
- hep-lat/9808010
•
DOI:
- 10.1016/S0550-3213(99)00213-8

A study of chiral symmetry in quenched QCD using the overlap Dirac operator

- Phys.Rev.D 59 (1999) 094510
•
e-Print:
- hep-lat/9811030
•
DOI:
- 10.1103/PhysRevD.59.094510

An Accelerated conjugate gradient algorithm to compute low lying eigenvalues: A Study for the Dirac operator in SU(2) lattice QCD

Thomas Kalkreuter
(
- Humboldt U., Berlin
)
,
Hubert Simma
(
- DESY
)

- Comput.Phys.Commun. 93 (1996) 33-47
•
e-Print:
- hep-lat/9507023
•
DOI:
- 10.1016/0010-4655(95)00126-3