Accelerating dynamical fermion computations using the rational hybrid Monte Carlo (RHMC) algorithm with multiple pseudofermion fields - INSPIRE

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Accelerating dynamical fermion computations using the rational hybrid Monte Carlo (RHMC) algorithm with multiple pseudofermion fields

M.A. Clark
(
- Boston U., Ctr. Comp. Sci.
)
,
A.D. Kennedy
(
- Edinburgh U.
)

Aug, 2006

4 pages

Published in:

Phys.Rev.Lett. 98 (2007) 051601

e-Print:

hep-lat/0608015 [hep-lat]

DOI:

10.1103/PhysRevLett.98.051601

View in:

ADS Abstract Service

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Abstract: (arXiv)

There has been much recent progress in the understanding and reduction of the computational cost of the Hybrid Monte Carlo algorithm for Lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this problem, where we represent the fermionic determinant using (n) pseudofermion fields, each with an (\nth) root kernel. We implement this within the framework of the Rational Hybrid Monte Carlo (RHMC) algorithm. We compare this algorithm with other recent methods in this area and find it is competitive with them.

02.50.Tt
11.15.Ha
02.70.Uu
05.10.Ln
quark: mass
fermion: determinant
quantum chromodynamics
lattice field theory
numerical methods: Monte Carlo

References(18)

Figures(0)

Speeding up the hybrid Monte Carlo algorithm for dynamical fermions

Martin Hasenbusch
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

- Phys.Lett.B 519 (2001) 177-182
•
e-Print:
- hep-lat/0107019
•
DOI:
- 10.1016/S0370-2693(01)01102-9

Hybrid Monte Carlo

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

Instability in the molecular dynamics step of hybrid Monte Carlo in dynamical Fermion lattice QCD simulations

UKQCD

Collaboration

•

Balint Joo
(
- Edinburgh U.
)

et al.

- Phys.Rev.D 62 (2000) 114501
•
e-Print:
- hep-lat/0005023
•
DOI:
- 10.1103/PhysRevD.62.114501

The RHMC algorithm for two flavors of dynamical staggered fermions

M.A. Clark
(
- Edinburgh U.
)
,
A.D. Kennedy
(
- Edinburgh U.
)

- Nucl.Phys.B Proc.Suppl. 129 (2004) 850-852,
•
e-Print:
- hep-lat/0309084
•
DOI:
- 10.1016/S0920-5632(03)02732-4

Many masses on one stroke: Economic computation of quark propagators

- Int.J.Mod.Phys.C 6 (1995) 627-638,
- Int. J. Mod. Phys. C6 (1995) 627-638, and Juelich HLRZ - HLRZ-95-020 (95/04,rec.May) 16 p. Wuppertal U. - WU-B-95-12 (95/04,rec.May) 16 p
•
e-Print:
- hep-lat/9504020
•
DOI:
- 10.1142/S0129183195000538

Krylov space solvers for shifted linear systems

Beat Jegerlehner
(
- Indiana U.
)

e-Print:
- hep-lat/9612014

Speeding up lattice QCD simulations with clover improved Wilson fermions

M. Hasenbusch
(
- NIC, Zeuthen and
- DESY, Zeuthen
)
,
K. Jansen
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

- Nucl.Phys.B 659 (2003) 299-320
•
e-Print:
- hep-lat/0211042
•
DOI:
- 10.1016/S0550-3213(03)00227-X

HMC algorithm with multiple time scale integration and mass preconditioning

C. Urbach
(
- Freie U., Berlin and
- NIC, Zeuthen
)
,
K. Jansen
(
- NIC, Zeuthen
)
,
A. Shindler
(
- NIC, Zeuthen
)
,
U. Wenger
(
- NIC, Zeuthen
)

- Comput.Phys.Commun. 174 (2006) 87-98
•
e-Print:
- hep-lat/0506011
•
DOI:
- 10.1016/j.cpc.2005.08.006

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

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

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

A Polynomial hybrid Monte Carlo algorithm

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

- Phys.Lett.B 402 (1997) 328-334
•
e-Print:
- hep-lat/9702016
•
DOI:
- 10.1016/S0370-2693(97)00475-9

Algorithm shootout: R versus RHMC

M.A. Clark
(
- Boston U., Ctr. Comp. Sci.
)
,
Ph. de Forcrand
(
- Zurich, ETH and
- CERN
)
,
A.D. Kennedy
(
- Edinburgh U.
)

- PoS LAT2005 (2006) 115
•
e-Print:
- hep-lat/0510004
•
DOI:
- 10.22323/1.020.0115

A Comparison of Numerical Algorithms for Dynamical Fermions

Massimo Campostrini
(
- Pisa U. and
- INFN, Pisa
)
,
Paolo Rossi
(
- Pisa U. and
- INFN, Pisa
)

- Nucl.Phys.B 329 (1990) 753-764
•
DOI:
- 10.1016/0550-3213(90)90081-N

Testing and tuning new symplectic integrators for hybrid Monte Carlo algorithm in lattice QCD

Tetsuya Takaishi
(
- Hiroshima U.
)
,
Philippe de Forcrand
(
- CERN and
- Zurich U. and
- Zurich, ETH
)

- Phys.Rev.E 73 (2006) 036706
•
e-Print:
- hep-lat/0505020
•
DOI:
- 10.1103/PhysRevE.73.036706

Finite-size effects in lattice QCD with dynamical Wilson fermions

Boris Orth
(
- Wuppertal U. and
- Julich, NIC
)
,
Thomas Lippert
(
- Wuppertal U. and
- Julich, NIC
)
,
Klaus Schilling
(
- Wuppertal U.
)

- Phys.Rev.D 72 (2005) 014503
•
e-Print:
- hep-lat/0503016
•
DOI:
- 10.1103/PhysRevD.72.014503

Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD

Martin Luscher
(
- CERN
)

- Comput.Phys.Commun. 165 (2005) 199-220
•
e-Print:
- hep-lat/0409106
•
DOI:
- 10.1016/j.cpc.2004.10.004

HIGHER ORDER HYBRID MONTE CARLO ALGORITHMS

Michael Creutz
(
- Rutgers U., Piscataway and
- Brookhaven
)
,
Andreas Gocksch
(
- Brookhaven
)

- Phys.Rev.Lett. 63 (1989) 9
•
DOI:
- 10.1103/PhysRevLett.63.9