Computation of the relation between the quark masses in lattice gauge theories and on the continuum

Arroyo, Alejandro; Ynduráin, Francisco; Martinelli, G.

doi:10.1016/0370-2693(82)90577-9

Cited by 71 publications

(29 citation statements)

References 12 publications

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“…Lattice QCD is in principle able to predict the mass of any quark by fixing to its experimental value the mass of a hadron containing a quark with the same flavour. The 'bare' lattice quark mass m(a) can be extracted directly from lattice simulations and can be related to the continuum mass m M S (µ) renormalized in the minimal-subtraction dimensional scheme through a welldefined perturbative procedure [26] - [28] . Following ref.…”

Section: Strange Quark Massmentioning

confidence: 99%

Light quenched hadron spectrum and decay constants on different lattices

et al. 1997

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In this paper we study O(2000) (quenched) lattice configurations from the APE collaboration, for different lattice volumes and for 6.0 ≤ β ≤ 6.4 using both the Wilson and the SW-Clover fermion actions. We determine the light hadronic spectrum and meson decay constants and study the mesonic dispersion relation. We extract the hadronic variable J and the strange quark mass in the continuum at the next-to-leading order obtaining m M S s (µ = 2GeV ) = 122 ± 20 M eV . A study is made of their dependence on lattice spacing. We implement a newly developed technique to extract the inverse lattice spacing using data at the simulated values of the quark mass (i.e. at masses around the strange quark mass).

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Section: Strange Quark Massmentioning

confidence: 99%

Light quenched hadron spectrum and decay constants on different lattices

et al. 1997

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“…where b = 11 − 2 3 N f , for a gauge group SU(3) and N f quark flavours. For the two gluon condensates (3.7) and (3.8) one must use the renormalized quark masses m f [26] corresponding to a • m q = 0.01 and a • m q = 0.02 respectively: for a • m q = 0.01 we have approximately m f ≃ 44 MeV. Making use of the popular values for the quark condensate ( qq ≃ −0.013 GeV 4 [17,27]) and for the physical quark masses (m u ≃ 4 MeV, m d ≃ 7 MeV and m s ≃ 150 MeV), we can thus extrapolate from the value (3.7) to the physical gluon condensate, obtaining:…”

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confidence: 99%

Field strength correlators in full QCD

1997

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“…15, 16 that the moment ratios r n of the lattice correlator in the free-Wilson-quarks approximation follow the corresponding ratios of the continuum theory with the correct value of the quark mass. The moments ( 27) -(29) of the continuum theory can be calculated with the help of the spectral represenation (7) with the spectral density corresponding to one-loop of free quarks. For the three channels under discussion one can use:…”

Section: The Lattice Dispersion Relation For the Fermionic Continuummentioning

confidence: 99%

“…One way to calculate the Euclidean mass on the lattice was considered in [7]. The Our approach is somewhat alternative to [7].…”

Section: Introductionmentioning

confidence: 99%

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Determination of the renormalized heavy-quark mass in lattice QCD

Bochkarev

Forcrand

1996

Nuclear Physics B

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We study on the lattice the correlator of heavy-quark currents in the vicinity of vanishing momentum. The renormalized charmed quark mass, the renormalized strong coupling constant and gluon condensate can be defined in terms of the derivatives of that correlator at zero momentum. We analyze quenched Monte-Carlo data on a small lattice 8 3 * 16 for β = 6. We generalize dispersion relations to the lattice theory in a simple way and use them successfully to fit the correlator at both small and large distances. We fit the short-distance part of the correlator with the relevant expressions of perturbative QCD on the lattice and obtain the value of the renormalized quark mass mM

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Computation of the relation between the quark masses in lattice gauge theories and on the continuum

Cited by 71 publications

References 12 publications

Light quenched hadron spectrum and decay constants on different lattices

Light quenched hadron spectrum and decay constants on different lattices

Field strength correlators in full QCD

Determination of the renormalized heavy-quark mass in lattice QCD

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