Hybrid Monte Carlo without pseudofermions

K. F. Liu; S. J. Dong; C. Thron

doi:10.1016/S0920-5632(96)00833-X

Hybrid Monte Carlo without pseudofermions

K. F. Liu, S. J. Dong, C. Thron

Physics And Astronomy

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1 Citation (SciVal)

Abstract

We introduce a dynamical fermion algorithm which is based on the hybrid Monte Carlo (HMC) algorithm, but without pseudofermions. The molecular dynamics steps in HMC are retained except the derivatives with respect to the gauge fields are calculated with the Z₂ noise. The determinant ratios are estimated with the Pad̀e - Z₂ method. Finally, we use the Kennedy-Kuti linear accept/reject test for the Monte Carlo step which is shown to respect detailed balance. We comment on the comparison of this algorithm with the pseudofermion algorithm.

Original language	English
Pages (from-to)	980-982
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	53
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(96)00833-X
State	Published - Feb 1997

Bibliographical note

Funding Information:
*This work is partially supported by DOE grant No. DE-FG05-84ER40154.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/S0920-5632(96)00833-X

Cite this

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title = "Hybrid Monte Carlo without pseudofermions",

abstract = "We introduce a dynamical fermion algorithm which is based on the hybrid Monte Carlo (HMC) algorithm, but without pseudofermions. The molecular dynamics steps in HMC are retained except the derivatives with respect to the gauge fields are calculated with the Z2 noise. The determinant ratios are estimated with the Pa{\`d}e - Z2 method. Finally, we use the Kennedy-Kuti linear accept/reject test for the Monte Carlo step which is shown to respect detailed balance. We comment on the comparison of this algorithm with the pseudofermion algorithm.",

author = "Liu, {K. F.} and Dong, {S. J.} and C. Thron",

note = "Funding Information: *This work is partially supported by DOE grant No. DE-FG05-84ER40154.",

year = "1997",

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doi = "10.1016/S0920-5632(96)00833-X",

language = "English",

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AU - Liu, K. F.

AU - Dong, S. J.

AU - Thron, C.

N1 - Funding Information: *This work is partially supported by DOE grant No. DE-FG05-84ER40154.

PY - 1997/2

Y1 - 1997/2

N2 - We introduce a dynamical fermion algorithm which is based on the hybrid Monte Carlo (HMC) algorithm, but without pseudofermions. The molecular dynamics steps in HMC are retained except the derivatives with respect to the gauge fields are calculated with the Z2 noise. The determinant ratios are estimated with the Pad̀e - Z2 method. Finally, we use the Kennedy-Kuti linear accept/reject test for the Monte Carlo step which is shown to respect detailed balance. We comment on the comparison of this algorithm with the pseudofermion algorithm.

AB - We introduce a dynamical fermion algorithm which is based on the hybrid Monte Carlo (HMC) algorithm, but without pseudofermions. The molecular dynamics steps in HMC are retained except the derivatives with respect to the gauge fields are calculated with the Z2 noise. The determinant ratios are estimated with the Pad̀e - Z2 method. Finally, we use the Kennedy-Kuti linear accept/reject test for the Monte Carlo step which is shown to respect detailed balance. We comment on the comparison of this algorithm with the pseudofermion algorithm.

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EP - 982

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Hybrid Monte Carlo without pseudofermions

Abstract

Bibliographical note

ASJC Scopus subject areas

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