Renormalization of bilinear quark operators for overlap fermions

DeGrand, Thomas; Li, Zhaofeng

doi:10.1103/physrevd.72.054508

Cited by 17 publications

(22 citation statements)

References 33 publications

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“…Such a factor should be calculated nonperturbatively on the staggered configurations with our specific valence Dirac operator. We have not done this calculation yet but similar ones exist [12,13,17]. Z s seems to be largely independent of the detailed properties of the background configurations and we estimate its value to be Z s ≥ 0.9, which will lower Σ 1/3 lat by 3%.…”

Section: The Chiral Condensate and Matching Massesmentioning

confidence: 99%

The chiral condensate on two-flavor staggered configurations from an overlap operator

Hasenfratz¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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We measure the low lying eigenmodes of an overlap Dirac operator on 2-flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations describe continuum QCD. The agreement between the numerical data and RMT implies that at our quark mass values the lattice artifacts of the staggered configurations are comparable to overlap configurations. We identify the overlap valence mass that best matches the staggered sea quarks and predict the value of the infinite volume 2-flavor chiral condensate.

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Section: The Chiral Condensate and Matching Massesmentioning

confidence: 99%

The chiral condensate on two-flavor staggered configurations from an overlap operator

Hasenfratz¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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“…Both the domain wall fermion and the overlap fermion are chiral fermions. As such, they do not have O(a) errors and non-perturbative renormalization via chiral Ward identities or the ROM/RI scheme can be implemented relatively easily [4][5][6]. Furthermore, the overlap fermion has additional desirable features which one can take advantage of in order to improve chiral symmetry as well as the quality of the numerical results.…”

Section: Introductionmentioning

confidence: 99%

Overlap valence on2+1flavor domain wall fermion configurations with deflation and low-mode substitution

Alexandru

Chen

et al. 2010

Phys. Rev. D

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The overlap fermion propagator is calculated on 2 + 1 flavor domain wall fermion gauge configurations on 16 3 × 32, 24 3 × 64 and 32 3 × 64 lattices. With HYP smearing and low eigenmode deflation, it is shown that the inversion of the overlap operator can be expedited by ∼ 20 times for the 16 3 × 32 lattice and ∼ 80 times for the 32 3 × 64 lattice. The overhead cost for calculating eigenmodes ranges from 4.5 to 7.9 propagators for the above lattices. Through the study of hyperfine splitting, we found that the O(m 2 a 2 ) error is small and these dynamical fermion lattices can adequately accommodate quark mass up to the charm quark. A preliminary calculation of the low energy constant ∆ mix which characterizes the discretization error of the pion made up of a pair of sea and valence quarks in this mixed action approach is carried out via the scalar correlator with periodic and anti-periodic boundary conditions. It is found to be small which shifts a 300 MeV pion mass by ∼ 10 to 19 MeV on these sets of lattices. We have studied the signal-to-noise issue of the noise source for the meson and baryon. We introduce a new algorithm with Z 3 grid source and low eigenmode substitution to study the the many-to-all meson and baryon correlators. It is found to be efficient in reducing errors for the correlators of both mesons and baryons. With 64-point Z 3 grid source and low-mode substitution, it can reduce the statistical errors of the light quark (m π ∼ 200 − 300 MeV) meson and nucleon correlators by a factor of ∼ 3 − 4 as compared to the point source. The Z 3 grid source itself can reduce the errors of the charmonium correlators by a factor of ∼ 3.

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“…The double pole term comes from topological zero modes [10,11]. In a calculation of Z S in the RI' scheme [12], the curving up of Z S at small am q is suppressed when the zero modes are subtracted from the quark propagator. The fits to Eq.…”

Section: Renormalizations Of the Scalar And Pseudoscalar Densitymentioning

confidence: 99%

Non-perturbative renormalization of overlap quark bilinears on domain wall fermion configurations

Li¹,

Chen²,

Yang³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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We present renormalization constants of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations. Both overlap and domain wall fermions have chiral symmetry on the lattice. The scale independent renormalization constant for the local axial vector current is computed using a Ward Identity. The renormalization constants for the scalar, pseudoscalar and vector current are calculated in the RI-MOM scheme. Results in the MS scheme are obtained by using perturbative conversion ratios. The analysis uses in total six ensembles with lattice sizes 24 3 × 64 and 32 3 × 64.

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Renormalization of bilinear quark operators for overlap fermions

Cited by 17 publications

References 33 publications

The chiral condensate on two-flavor staggered configurations from an overlap operator

The chiral condensate on two-flavor staggered configurations from an overlap operator

Overlap valence on2+1flavor domain wall fermion configurations with deflation and low-mode substitution

Non-perturbative renormalization of overlap quark bilinears on domain wall fermion configurations

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