Nonperturbative Determination of Quark Masses in Quenched Lattice QCD with the Kogut-Susskind Fermion Action

Aoki, Sinya; Fukugita, M.; Hashimoto, S.; Ishikawa, Ken-ichi; Ishizuka, N.; Iwasaki, Y.; Kanaya, K.; Kaneda, T.; Kaya, S.; Kuramashi, Y.; Okawa, M.; Onogi, Tetsuya; Tominaga, S.; Tsutsui, N.; Ukawa, A.; Yamada, Norikazu; Yoshié, T.

doi:10.1103/physrevlett.82.4392

Cited by 76 publications

(73 citation statements)

References 17 publications

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“…In fig.4, in order to account for the difference between N 2 LO and N 3 LO, the results of refs. [13] and [14] have been decreased by 3%.…”

Section: Quenched Calculationsmentioning

confidence: 99%

“…In this case, the more extensive analysis by ALPHA-UKQCD [11] shows that the value of the strange quark mass is underestimated by approximately 3%. Finally, in the calculations by APE [13] and JLQCD [14] the conversion from the non-perturbative RI-MOM renormalization scheme to the MS scheme has been done at the N 2 LO in perturbation theory [30], since at the time when these studies have been performed the N 3 LO perturbative calculation of [31] was not available yet. In fig.4, in order to account for the difference between N 2 LO and N 3 LO, the results of refs.…”

Section: Quenched Calculationsmentioning

confidence: 99%

“…2m s /(m u + m d ) APE 98 [13] 24.6 ± 2.2 JLQCD 99 [14] 25.1 ± 1.7 CP-PACS 99 [26] 25.3 ± 1.0 QCDSF 99 [27] 23.9 ± 1.1 APE 99 [5] 23.4 ± 2.4 CP-PACS 00 [28] 25.2 ± 1.0 The errors are my estimates based on the original data.…”

Section: Quenched Calculationsmentioning

confidence: 99%

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Quark masses on the lattice: light and heavy

Lubicz

2001

Nuclear Physics B - Proceedings Supplements

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I review the current status of lattice calculations of light and heavy quark masses. Significant progresses, in these studies, have been allowed by the introduction of improved actions and non-perturbative renormalization techniques. Current determinations of light quark masses are accurate at the level of 20%, where the main source of uncertainty is represented by the quenching error. The determination of the bottom quark mass is accurate at the impressive level of 2%. As final averages of lattice results, I quote m ud (2 GeV) = (4.5 ± 1.0) MeV, ms(2 GeV) = (110 ± 25) MeV and m b (m b ) = (4.26 ± 0.09) GeV.

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“…In fig.4, in order to account for the difference between N 2 LO and N 3 LO, the results of refs. [13] and [14] have been decreased by 3%.…”

Section: Quenched Calculationsmentioning

confidence: 99%

Section: Quenched Calculationsmentioning

confidence: 99%

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Quark masses on the lattice: light and heavy

Lubicz

2001

Nuclear Physics B - Proceedings Supplements

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“…Though gauge dependent, it manifestly displays dynamical chiral symmetry breaking, contains the chiral condensate and Λ QCD , and has been used to compute the running quark mass [1]. Some model hadron calculations rely on ansätze for the quark propagator [2], yet on the lattice we have the opportunity to study it in a direct, nonperturbative fashion.…”

Section: The Lattice Quark Propagatormentioning

confidence: 99%

Modelling the quark propagator

Bowman

Heller

Leinweber

et al. 2003

Nuclear Physics B - Proceedings Supplements

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The quark propagator is at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. We investigate the quark propagator with an improved staggered action (Asqtad) and an improved gluon action, which provides good quality data down to small quark masses. This is used to construct ansätze suitable for model hadron calculations as well as adding to our intuitive understanding of QCD. The lattice quark propagatorThe quark propagator is a fundamental quantity of QCD. Though gauge dependent, it manifestly displays dynamical chiral symmetry breaking, contains the chiral condensate and Λ QCD , and has been used to compute the running quark mass [1]. Some model hadron calculations rely on ansätze for the quark propagator [2], yet on the lattice we have the opportunity to study it in a direct, nonperturbative fashion.We use the "Asqtad" quark action [3], a highly improved staggered action that formally has no O(a 2 ) errors. We extend some earlier work [4] by also using an improved gluon action. We have calculated the quark propagator on three sets of configurations: 12 3 × 24 and 16 3 × 32 at β = 4.60 (a = 0.125 fm) and 16 3 × 32 at β = 4.38 (a = 0.167 fm), each ensemble consisting of 100 configurations. The configurations were fixed to Landau gauge. Most results shown here are from the larger, finer lattice, where we used 8 quark masses: ma = 0. 012, 0.018, 0.024, 0.036, 0.048, 0.072, 0.108, 0.144 (19 to 114 MeV).In the (Euclidean) continuum, Lorentz invariance allows us to decompose the full quark propagator into Dirac vector and scalar piecesAsymptotic freedom means that, as p 2 → ∞, S −1 (p 2 ) → iγ · p + m, (the free propagator) where m is the bare quark mass. * Talk presented by POB.

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“…[1,3] has been successfully applied to compute renormalization constants of composite fermion operators in many lattice regularizations: Wilson fermions [1], [3]- [10], Kogut-Susskind fermions [11], domain-wall fermions [12] and overlap fermions [13]. The method imposes RI/MOM renormalization conditions on conveniently defined amputated Green functions computed non-perturbatively between off-shell quark states at large virtuality in a fixed gauge.…”

Section: Introductionmentioning

confidence: 99%

Remarks on the gauge dependence of the RI/MOM renormalization procedure

et al. 2002

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The RI/MOM non-perturbative renormalization scheme is studied on the lattice in SU(3) quenched QCD with Wilson fermions. The gauge dependence of some fermion bilinear renormalization constants is discussed by comparing data which have been gauge-fixed in two different realizations of the Landau gauge and in a generic covariant gauge. The very good agreement between the various sets of results and the theory indicates that the numerical uncertainty induced by the lattice gauge-fixing procedure is moderate and below the statistical errors.

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Nonperturbative Determination of Quark Masses in Quenched Lattice QCD with the Kogut-Susskind Fermion Action

Cited by 76 publications

References 17 publications

Quark masses on the lattice: light and heavy

Quark masses on the lattice: light and heavy

Modelling the quark propagator

Remarks on the gauge dependence of the RI/MOM renormalization procedure

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