Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F

Lehner, Christoph and Bloch, Jacques and Hashimoto, Shoji and Wettig, Tilo (2011) Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F. JOURNAL OF HIGH ENERGY PHYSICS (5): 115. ISSN 1029-8479,

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Abstract

The lowest-order low-energy constants Sigma and F of chiral pertubation theory can be extracted from lattice data using methods based on the equivalence of random matrix theory (RMT) and QCD in the epsilon regime. We discuss how the choice of the lattice geometry affects such methods. In particular, we show how to minimize systematic deviations from RMT by an optimal choice of the lattice geometry in the case of two light quark flavors. We illustrate our findings by determining Sigma and F from lattice configurations with two dynamical overlap fermions generated by JLQCD, using two different lattice geometries.

Item Type: Article
Uncontrolled Keywords: CHIRAL PERTURBATION-THEORY; RANDOM-MATRIX THEORY; DIRAC OPERATOR; QCD; Lattice QCD; Chiral Lagrangians; QCD
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Jun 2020 05:45
Last Modified: 22 Jun 2020 05:45
URI: https://pred.uni-regensburg.de/id/eprint/20842

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