A Polynomial hybrid Monte Carlo algorithm

Frezzotti, Roberto; Jansen, Karl

doi:10.1016/S0370-2693(97)00475-9

A Polynomial hybrid Monte Carlo algorithm

Roberto Frezzotti
(
- DESY
)
,
Karl Jansen
(
- CERN
)

Feb, 1997

12 pages

Published in:

Phys.Lett.B 402 (1997) 328-334

e-Print:

hep-lat/9702016 [hep-lat]

DOI:

10.1016/S0370-2693(97)00475-9

Report number:

DESY-97-020,
DESY-97-20,
CERN-TH-97-21

View in:

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Abstract:

We present a simulation algorithm for dynamical fermions that combines the multiboson technique with the Hybrid Monte Carlo algorithm. We find that the algorithm gives a substantial gain over the standard methods in practical simulations. We point out the ability of the algorithm to treat fermion zeromodes in a clean and controllable manner.

Note:

Latex, 1 figure, 12 pages Report-no: DESY-97-20, CERN-TH/97-021

lattice field theory
gauge field theory: SU(3)
fermion: zero mode
numerical methods: Monte Carlo

References(22)

Figures(0)

Hybrid Monte Carlo

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

A New approach to the problem of dynamical quarks in numerical simulations of lattice QCD

Martin Luscher
(
- DESY
)

- Nucl.Phys.B 418 (1994) 637-648
•
e-Print:
- hep-lat/9311007
•
DOI:
- 10.1016/0550-3213(94)90533-9

Fast fermion Monte Carlo

Philippe de Forcrand
(
- Zurich, ETH
)
,
Tetsuya Takaishi
(
- Zurich, ETH
)

- Nucl.Phys.B Proc.Suppl. 53 (1997) 968-970,
- Lattice 96:968-970
•
e-Print:
- hep-lat/9608093
•
DOI:
- 10.1016/S0920-5632(96)00829-8

Stochastic Quantization in Phase Space

A.M. Horowitz
(
- Cincinnati U.
)

- Phys.Lett.B 156 (1985) 89,
- IN *DAMGAARD, P.H. (ED.), HUEFFEL, H. (ED.): STOCHASTIC QUANTIZATION*, 251-254. (Phys. Lett. B156 (1985) 89-92)
•
DOI:
- 10.1016/0370-2693(85)91360-7

The second order Langevin equation and numerical simulations

Alan M. Horowitz
(
- Bonn U.
)

- Nucl.Phys.B 280 (1987) 510-522,
- Nucl.Phys.B 280 (1987) 510
•
DOI:
- 10.1016/0550-3213(87)90159-3

A Generalized guided Monte Carlo algorithm

Alan M. Horowitz
(
- CERN
)

- Phys.Lett.B 268 (1991) 247-252
•
DOI:
- 10.1016/0370-2693(91)90812-5

Kramers equation algorithm for simulations of QCD with two flavors of Wilson fermions and gauge group SU(2)

Karl Jansen
(
- DESY
)
,
Chuan Liu
(
- DESY
)

- Nucl.Phys.B 453 (1995) 375-394,
- Nucl.Phys.B 459 (1996) 437-438 (erratum)
•
e-Print:
- hep-lat/9506020
•
DOI:
- 10.1016/0550-3213(95)00427-T

Kramers equation algorithm for simulations of QCD with two flavors of Wilson fermions and gauge group SU(2)

Karl Jansen
(
- DESY
)
,
Chuan Liu
(
- DESY
)

- Nucl.Phys.B 453 (1995) 375-394,
- Nucl.Phys.B 459 (1996) 437-438 (erratum)
•
e-Print:
- hep-lat/9506020
•
DOI:
- 10.1016/0550-3213(95)00427-T

Recent developments in fermion simulation algorithms

K. Jansen
(
- DESY
)

- Nucl.Phys.B Proc.Suppl. 53 (1997) 127-133,
- Lattice 96:127-133
•
e-Print:
- hep-lat/9607051
•
DOI:
- 10.1016/S0920-5632(96)00606-8

A New simulation algorithm for lattice QCD with dynamical quarks

B. Bunk
(
- Humboldt U., Berlin
)
,
K. Jansen
(
- DESY
)
,
B. Jegerlehner
(
- Munich, Max Planck Inst.
)
,
M. Luscher
(
- DESY
)
,
H. Simma
(
- DESY
)

et al.

- Nucl.Phys.B Proc.Suppl. 42 (1995) 49-55
•
e-Print:
- hep-lat/9411016
•
DOI:
- 10.1016/0920-5632(95)00186-D

Improvements of Luscher's local bosonic fermion algorithm

Beat Jegerlehner
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 465 (1996) 487-506
•
e-Print:
- hep-lat/9512001
•
DOI:
- 10.1016/0550-3213(96)00055-7

Full QCD with the Luscher local bosonic action

C. Alexandrou
(
- Cyprus U. and
- PSI, Villigen
)
,
A. Borrelli
(
- PSI, Villigen
)
,
P. de Forcrand
(
- Zurich, ETH
)
,
A. Galli
(
- PSI, Villigen
)
,
F. Jegerlehner
(
- PSI, Villigen
)

- Nucl.Phys.B 456 (1995) 296-312
•
e-Print:
- hep-lat/9506001
•
DOI:
- 10.1016/0550-3213(98)00488-X

NonHermitian exact local bosonic algorithm for dynamical quarks

- Nucl.Phys.B 477 (1996) 809-834
•
e-Print:
- hep-lat/9602016
•
DOI:
- 10.1016/0550-3213(96)00359-8

Performance tests of the Kramers equation and boson algorithms for simulations of QCD

Karl Jansen
(
- DESY
)
,
Chuan Liu
(
- DESY
)
,
Beat Jegerlehner
(
- Munich, Max Planck Inst.
)

- Phys.Lett.B 375 (1996) 255-261
•
e-Print:
- hep-lat/9512018
•
DOI:
- 10.1016/0370-2693(96)00278-X

Hybrid Molecular Dynamics Algorithms for the Numerical Simulation of Quantum Chromodynamics

- Phys.Rev.D 35 (1987) 2531-2542,
- Phys. Rev. D35 ( 1987) 2531-2542
•
DOI:
- 10.1103/PhysRevD.35.2531

{QCD} With Dynamical Wilson Fermions

et al.

- Phys.Rev.D 40 (1989) 2072
•
DOI:
- 10.1103/PhysRevD.40.2072

Conditioning Techniques for Dynamical Fermions

Thomas A. DeGrand
(
- Colorado U.
)
,
Pietro Rossi
(
- UC, San Diego
)

- Comput.Phys.Commun. 60 (1990) 211-214,
- Comput. Phys. Commun. 60 (1990) 211-214 and Colorado Univ. Boulder - COLO-HEP-216 (90,rec.Feb.) 8 p
•
DOI:
- 10.1016/0010-4655(90)90006-M

Hamiltonian evolution for the hybrid Monte Carlo algorithm

J.C. Sexton
(
- IBM Watson Res. Ctr. and
- Trinity Coll., Dublin
)
,
D.H. Weingarten
(
- IBM Watson Res. Ctr.
)

- Nucl.Phys.B 380 (1992) 665-677
•
DOI:
- 10.1016/0550-3213(92)90263-B

Low lying eigenvalues of the Wilson-Dirac operator

- Nucl.Phys.B Proc.Suppl. 53 (1997) 262-265,
- Lattice 96:262-265
•
e-Print:
- hep-lat/9608048
•
DOI:
- 10.1016/S0920-5632(96)00631-7

Nonperturbative O(a) improvement of lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Florida State U., SCRI
)
,
Rainer Sommer
(
- DESY, Zeuthen and
- CERN
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)
,
Ulli Wolff
(
- Humboldt U., Berlin
)

- Nucl.Phys.B 491 (1997) 323-343
•
e-Print:
- hep-lat/9609035
•
DOI:
- 10.1016/S0550-3213(97)00080-1

A Polynomial hybrid Monte Carlo algorithm

Citations per year

Hybrid Monte Carlo

A New approach to the problem of dynamical quarks in numerical simulations of lattice QCD

Fast fermion Monte Carlo

Stochastic Quantization in Phase Space

The second order Langevin equation and numerical simulations

A Generalized guided Monte Carlo algorithm

Kramers equation algorithm for simulations of QCD with two flavors of Wilson fermions and gauge group SU(2)

Kramers equation algorithm for simulations of QCD with two flavors of Wilson fermions and gauge group SU(2)

Recent developments in fermion simulation algorithms

A New simulation algorithm for lattice QCD with dynamical quarks

Improvements of Luscher's local bosonic fermion algorithm

Full QCD with the Luscher local bosonic action

NonHermitian exact local bosonic algorithm for dynamical quarks

Performance tests of the Kramers equation and boson algorithms for simulations of QCD

Hybrid Molecular Dynamics Algorithms for the Numerical Simulation of Quantum Chromodynamics

{QCD} With Dynamical Wilson Fermions

Conditioning Techniques for Dynamical Fermions

Hamiltonian evolution for the hybrid Monte Carlo algorithm

Low lying eigenvalues of the Wilson-Dirac operator

Nonperturbative O(a) improvement of lattice QCD

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

Systematic errors of Luscher's fermion method and its extensions