Quenched chiral log and light quark mass from overlap fermions

Terrence Draper; Shao Jing Dong; Ivan Horváth; Frank Lee; Keh Fei Liu; Nilmani Mathur; Jianbo Zhang

doi:10.1016/S0920-5632(03)01513-5

Quenched chiral log and light quark mass from overlap fermions

Terrence Draper, Shao Jing Dong, Ivan Horváth, Frank Lee, Keh Fei Liu, Nilmani Mathur, Jianbo Zhang

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Abstract

We study the quenched chiral behavior of the pion with mass as low as ≈ 180 MeV. The calculation is done on a quenched lattice of size 16³ × 28 and a = 0.2 fm with 80 configurations using overlap fermions and an improved gauge action. Using an improved constrained curve fitting technique, we find that the ground state pseudoscalar mass versus bare quark mass behavior is well controlled with small statistical errors; this permits a reliable fit of the quenched chiral log effects, a determination of the chiral log parameter (δ = 0.26(3)), and an estimate of the renormalized mass of the light quark (m^̄MS(μ = 2 GeV) = 3.7(3) MeV).

Original language	English
Pages (from-to)	239-241
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	119
DOIs	https://doi.org/10.1016/S0920-5632(03)01513-5
State	Published - May 2003

Bibliographical note

Funding Information:
*Talk presented by T. Draper at Lattice 2002. tThis work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 DE-FG02-02ER45967.

ASJC Scopus subject areas

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

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10.1016/S0920-5632(03)01513-5

Cite this

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title = "Quenched chiral log and light quark mass from overlap fermions",

abstract = "We study the quenched chiral behavior of the pion with mass as low as ≈ 180 MeV. The calculation is done on a quenched lattice of size 163 × 28 and a = 0.2 fm with 80 configurations using overlap fermions and an improved gauge action. Using an improved constrained curve fitting technique, we find that the ground state pseudoscalar mass versus bare quark mass behavior is well controlled with small statistical errors; this permits a reliable fit of the quenched chiral log effects, a determination of the chiral log parameter (δ = 0.26(3)), and an estimate of the renormalized mass of the light quark ({\=m}MS(μ = 2 GeV) = 3.7(3) MeV).",

author = "Terrence Draper and Dong, {Shao Jing} and Ivan Horv{\'a}th and Frank Lee and Liu, {Keh Fei} and Nilmani Mathur and Jianbo Zhang",

note = "Funding Information: *Talk presented by T. Draper at Lattice 2002. tThis work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 DE-FG02-02ER45967.",

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doi = "10.1016/S0920-5632(03)01513-5",

language = "English",

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pages = "239--241",

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T1 - Quenched chiral log and light quark mass from overlap fermions

AU - Draper, Terrence

AU - Dong, Shao Jing

AU - Horváth, Ivan

AU - Lee, Frank

AU - Liu, Keh Fei

AU - Mathur, Nilmani

AU - Zhang, Jianbo

N1 - Funding Information: *Talk presented by T. Draper at Lattice 2002. tThis work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 DE-FG02-02ER45967.

PY - 2003/5

Y1 - 2003/5

N2 - We study the quenched chiral behavior of the pion with mass as low as ≈ 180 MeV. The calculation is done on a quenched lattice of size 163 × 28 and a = 0.2 fm with 80 configurations using overlap fermions and an improved gauge action. Using an improved constrained curve fitting technique, we find that the ground state pseudoscalar mass versus bare quark mass behavior is well controlled with small statistical errors; this permits a reliable fit of the quenched chiral log effects, a determination of the chiral log parameter (δ = 0.26(3)), and an estimate of the renormalized mass of the light quark (m̄MS(μ = 2 GeV) = 3.7(3) MeV).

AB - We study the quenched chiral behavior of the pion with mass as low as ≈ 180 MeV. The calculation is done on a quenched lattice of size 163 × 28 and a = 0.2 fm with 80 configurations using overlap fermions and an improved gauge action. Using an improved constrained curve fitting technique, we find that the ground state pseudoscalar mass versus bare quark mass behavior is well controlled with small statistical errors; this permits a reliable fit of the quenched chiral log effects, a determination of the chiral log parameter (δ = 0.26(3)), and an estimate of the renormalized mass of the light quark (m̄MS(μ = 2 GeV) = 3.7(3) MeV).

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DO - 10.1016/S0920-5632(03)01513-5

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VL - 119

SP - 239

EP - 241

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

Quenched chiral log and light quark mass from overlap fermions

Abstract

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