Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD - INSPIRE

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Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD

Piotr Korcyl
(
- Regensburg U.
)
,
Gunnar S. Bali
(
- Regensburg U.
)

Jul 24, 2016

15 pages

Published in:

Phys.Rev.D 95 (2017) 1, 014505

Published: Jan 13, 2017

e-Print:

1607.07090 [hep-lat]

DOI:

10.1103/PhysRevD.95.014505

View in:

ADS Abstract Service

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Abstract: (APS)

We determine quark mass dependent order a improvement terms of the form bJam for nonsinglet scalar, pseudoscalar, vector and axialvector currents using correlators in coordinate space on a set of Coordinated Lattice Simulations ensembles. These have been generated employing nonperturbatively improved Wilson fermions and the tree-level Lüscher-Weisz gauge action at β=3.4, 3.46, 3.55 and 3.7, corresponding to lattice spacings ranging from a≈0.085 fm down to 0.05 fm. In the Nf=2+1 flavor theory two types of improvement coefficients exist: bJ, proportional to nonsinglet quark mass combinations, and b¯J (or b˜J), proportional to the trace of the quark mass matrix. Combining our nonperturbative determinations with perturbative results, we quote Padé approximants parametrizing the bJ improvement coefficients within the above window of lattice spacings. We also give preliminary results for b˜J at β=3.4.

Note:

15 pages, 6 figures, version published in PRD

quark: operator
quark: mass dependence
quark: Wilson
fermion: clover
operator: scalar
operator: pseudoscalar
operator: vector
operator: axial-vector
correlation function
nonperturbative

References(41)

Figures(16)

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