Hadron masses and quark condensate from overlap fermions

K. F. Liu; S. J. Dong; F. X. Lee; J. B. Zhang

doi:10.1016/s0920-5632(00)91760-2

Hadron masses and quark condensate from overlap fermions

K. F. Liu, S. J. Dong, F. X. Lee, J. B. Zhang

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We present results on hadron masses and quark condensate from Neuberger's overlap fermion. The scaling and chiral properties and finite volume effects from this new Dirac operator are studied. We find that the generalized Gell-Mann-Oakes-Renner relation is well satisfied down to the physical u and d quark mass range. We find that in the range of the lattice spacing we consider, the π and ρ masses at a fixed ℳπ/ℳρ ratio have weak O(a²) dependence.

Original language	English
Pages (from-to)	636-638
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	83-84
Issue number	1-3
DOIs	https://doi.org/10.1016/s0920-5632(00)91760-2
State	Published - Mar 2000

Bibliographical note

Funding Information:
This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907. We thank R. Edwards for sharing his experience in implementing the sign function solver. We also thank H. Neuberger for stimulating discussions.

ASJC Scopus subject areas

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

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10.1016/s0920-5632(00)91760-2

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title = "Hadron masses and quark condensate from overlap fermions",

abstract = "We present results on hadron masses and quark condensate from Neuberger's overlap fermion. The scaling and chiral properties and finite volume effects from this new Dirac operator are studied. We find that the generalized Gell-Mann-Oakes-Renner relation is well satisfied down to the physical u and d quark mass range. We find that in the range of the lattice spacing we consider, the π and ρ masses at a fixed ℳπ/ℳρ ratio have weak O(a2) dependence.",

author = "Liu, {K. F.} and Dong, {S. J.} and Lee, {F. X.} and Zhang, {J. B.}",

note = "Funding Information: This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907. We thank R. Edwards for sharing his experience in implementing the sign function solver. We also thank H. Neuberger for stimulating discussions.",

year = "2000",

month = mar,

doi = "10.1016/s0920-5632(00)91760-2",

language = "English",

volume = "83-84",

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TY - JOUR

T1 - Hadron masses and quark condensate from overlap fermions

AU - Liu, K. F.

AU - Dong, S. J.

AU - Lee, F. X.

AU - Zhang, J. B.

N1 - Funding Information: This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907. We thank R. Edwards for sharing his experience in implementing the sign function solver. We also thank H. Neuberger for stimulating discussions.

PY - 2000/3

Y1 - 2000/3

N2 - We present results on hadron masses and quark condensate from Neuberger's overlap fermion. The scaling and chiral properties and finite volume effects from this new Dirac operator are studied. We find that the generalized Gell-Mann-Oakes-Renner relation is well satisfied down to the physical u and d quark mass range. We find that in the range of the lattice spacing we consider, the π and ρ masses at a fixed ℳπ/ℳρ ratio have weak O(a2) dependence.

AB - We present results on hadron masses and quark condensate from Neuberger's overlap fermion. The scaling and chiral properties and finite volume effects from this new Dirac operator are studied. We find that the generalized Gell-Mann-Oakes-Renner relation is well satisfied down to the physical u and d quark mass range. We find that in the range of the lattice spacing we consider, the π and ρ masses at a fixed ℳπ/ℳρ ratio have weak O(a2) dependence.

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U2 - 10.1016/s0920-5632(00)91760-2

DO - 10.1016/s0920-5632(00)91760-2

M3 - Article

AN - SCOPUS:0034147922

SN - 0920-5632

VL - 83-84

SP - 636

EP - 638

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 1-3

ER -

Hadron masses and quark condensate from overlap fermions

Abstract

Bibliographical note

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