RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations

Qcd<, mi>; mrow,; Bi, Y. J.; Cai, H.; Chen, Ying; Gong, Ming; Liu, Keh-Fei; Li, Zhaofeng; Yang, Yi-Bo

doi:10.1103/physrevd.97.094501

Cited by 24 publications

(54 citation statements)

References 36 publications

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“…and the summation over all lattice sites w or x are normalized by the 4-D volume V . Eventually the scalar, pseudoscalar, quark mass and quark field renormalization constants at the RI'/MOM scale Q are defined by [9] ZS…”

Section: Methodsmentioning

confidence: 99%

Trace anomaly and dynamical quark mass

Yang¹,

Liang²,

Li³

et al. 2020

Preprint

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We investigated the origin of the RI'/MOM quark mass under the Landau gauge at the nonperturbative scale, using the chiral fermion with different quark masses and lattice spacings. Our result confirms that such a mass is non-vanishing based on the linear extrapolation to the chiral and continuum limit, and shows that such a mass comes from the spontaneous chiral symmetry breaking induced by the near zero modes with the eigenvalue λ < O(5m q ), and is proportional to the quark matrix element of the trace anomaly at least down to ∼1.3 GeV.

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Section: Methodsmentioning

confidence: 99%

Trace anomaly and dynamical quark mass

Yang¹,

Liang²,

Li³

et al. 2020

Preprint

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“…The bare chiral condensate and ρ(λ) we obtained above are under the lattice regularization and require renormalization. To renormalize the scalar quark bi-linear operator, we use the regularization independent momentum subtraction (RI/MOM) scheme [26,27] under the Landau gauge,…”

Section: Introductionmentioning

confidence: 99%

Detecting flavor content of the vacuum using the Dirac operator spectrum

Liang,

Alexandru,

et al. 2021

Preprint

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From simulations on 2+1 flavor domain wall fermion ensembles at three lattice spacings with two of them at physical quark masses, we compute the spectrum of the Dirac operator up to the eigenvalue λ ∼100 MeV using the overlap fermion. The spectrum is close to a constant below λ ≤ 20 MeV as predicted by the 2-flavor chiral perturbative theory (χPT) up to the finite volume correction, and then increases linearly due to the nonvainishing strange quark mass. Furthermore, one can extract the light and strange quark masses with ∼20% uncertainties from the spectrum data with sub-percentage statistical uncertainty, using the next to leading order χPT. Using the non-perturbative RI/MOM renormalization, we obtain the chiral condensates at MS 2GeV as Σ = (260.3(0.7)(1.3)(0.7)(0.8) MeV) 3 in the N f = 2 (keeping the strange quark mass at the physical point) chiral limit and Σ0 = (232.6(0.9)(1.2)(0.7)(0.8) MeV) 3 in the N f = 3 chiral limit, where the four uncertainties come from the statistical fluctuation, renormalization constant, continuum extrapolation and lattice spacing determination. Note that Σ/Σ0 = 1.40(2)(2) is much larger than 1 due to the strange quark mass effect.

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“…where m q is the quark mass, Z S = Z P for the chiral fermion after the quark mass dependence is subtracted, and A S is small as shown in Ref. [9]. It is remarkable that the relation Z mZP = 1 is exactly satisfied for all the momenta and quark masses based on the above definition, and immediately induces that 6) where A P corresponds to the residual RI'/MOM mass which is independent on m q , as illustrated in Fig.…”

Section: Methodsmentioning

confidence: 99%