Nonperturbative determination of improvement coefficients using coordinate space correlators in N-f=2+1 lattice QCD

Korcyl, Piotr and Bali, Gunnar S. (2017) Nonperturbative determination of improvement coefficients using coordinate space correlators in N-f=2+1 lattice QCD. PHYSICAL REVIEW D, 95 (1): 014505. ISSN 2470-0010, 2470-0029

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Abstract

We determine quark mass dependent order a improvement terms of the form b(j)am 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 Luher-Weisz gauge action at beta = 3.4, 3.46, 3.55 and 3.7, corresponding to lattice spacings ranging from a approximate to 0.085 fm down to 0.05 fm. In the N-f = 2 + 1 flavor theory two types of improvement coefficients exist: b(J), proportional to nonsinglet quark mass combinations, and (b) over bar (J) (or (b) over tilde (J)), proportional to the trace of the quark mass matrix. Combining our nonperturbative determinations with perturbative results, we quote Pade approximants parametrizing the b(J) improvement coefficients within the above window of lattice spacings. We also give preliminary results for (b) over tilde (J) at beta = 3.4.

Item Type: Article
Uncontrolled Keywords: IMPROVED GAUGE ACTION; WILSON FERMIONS; CONTINUUM-LIMIT; SUM-RULES; RENORMALIZATION; OPERATORS; CURRENTS; ORDERS; MASS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:01
Last Modified: 27 Feb 2019 11:11
URI: https://pred.uni-regensburg.de/id/eprint/560

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