Chiral logarithms in quenched QCD

Chen, Yanbei; Dong, Shao-Jing; Draper, Terrence; Horváth, I.; Lee, Frank; Liu, K. F.; Mathur, Nilmani; Zhang, Jianbo

doi:10.1103/physrevd.70.034502

Cited by 59 publications

(74 citation statements)

References 47 publications

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“…The lattice spacing of a 0:2003 fm was determined from f [15] for both lattices, so the box size is L 2:4 fm and L 3:2 fm, respectively. Our quenched quark propagators cover a wide range of quark masses, corresponding to pion mass from 1293 (20) MeVdown to 182 (8) MeV.…”

Section: Resultsmentioning

confidence: 99%

Study of pentaquarks on the lattice with overlap fermions

et al. 2004

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We present a quenched lattice QCD calculation of spin-1/2 five-quark states with uudds quark content for both positive and negative parities. We do not observe any bound pentaquark state in these channels for either I = 0 or I = 1. The states we found are consistent with KN scattering states which are checked to exhibit the expected volume dependence of the spectral weight. The results are based on overlap-fermion propagators on two lattices, 12 3 × 28 and 16 3 × 28, with the same lattice spacing of 0.2 fm, and pion mass as low as ∼ 180 MeV.

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Section: Resultsmentioning

confidence: 99%

Study of pentaquarks on the lattice with overlap fermions

et al. 2004

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“…p L a = √ n 2π/La with n = 0, 1, 2, 3. The overlap quark propagators are calculated on the 16 3 × 28 quenched lattice with 80 configurations generated from Iwasaki guage action with a = 2.00 fm as determined from f π [15]. Following Refs.…”

Section: D)d(m)mentioning

confidence: 99%

“…Besides fulfilling the promise of removing the difficulties of the Wilson-like fermion, the overlap fermion has turned in extra bonuses. Its critical slowing down is quite gentle all the way to the physical pion mass [20,15]; the O(a 2 ) [19] and O(m 2 a 2 ) [20] errors are apparently small, and it can incorporate the multi-mass inversion algorithm [21]. We will concentrate on the overlap fermion in this paper.…”

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Heavy and Light Quarks With Lattice Chiral Fermions

Liu

Dong

2005

Int. J. Mod. Phys. A

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The feasibility of using lattice chiral fermions which are free of O(a) errors for both the heavy and light quarks is examined. The fact that the effective quark propagators in these fermions have the same form as that in the continuum with the quark mass being only an additive parameter to a chirally symmetric antihermitian Dirac operator is highlighted. This implies that there is no distinction between the heavy and light quarks and no mass dependent tuning of the action or operators as long as the discretization error O(m 2 a 2 ) is negligible. Using the overlap fermion, we find that the O(m 2 a 2 ) (and O(ma 2 )) errors in the dispersion relations of the pseudoscalar and vector mesons and the renormalization of the axial-vector current and scalar density are small. This suggests that the applicable range of ma may be extended to ∼ 0.56 with only 5% error, which is a factor of ∼ 2.4 larger than that of the improved Wilson action. We show that the generalized Gell-Mann-Oakes-Renner relation with unequal masses can be utilized to determine the finite ma errors in the renormalization of the matrix elements for the heavy-light decay constants and semileptonic decay constants of the B/D meson.

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“…Assuming the analysis in Ref. [17], this difference makes sense. Despite the low quark masses in the current calculation, the large tasteviolations in the taste-singlet sector puts us in a larger region of meson mass, where the effective δ from chiral fits is smaller.…”

Section: Pos(lat2005)025mentioning

confidence: 99%

Update on pi and K Physics

Bérnard¹,

DeTar²,

Maresca³

et al. 2005

Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)

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We present an update of the MILC studies of the physics of light pseudoscalars using improved staggered fermions. New runs at lighter quark mass, as well as increased statistics for older sets, are enabling us to improve the results for decay constants in full QCD. In addition, we have analyzed quenched runs at two different lattice spacings. This makes possible a test of the applicability of staggered chiral perturbation theory in a different context.

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Chiral logarithms in quenched QCD

Cited by 59 publications

References 47 publications

Study of pentaquarks on the lattice with overlap fermions

Study of pentaquarks on the lattice with overlap fermions

Heavy and Light Quarks With Lattice Chiral Fermions

Update on pi and K Physics

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