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

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.

14 pages, 6 figures; extended discussion of systematic errors, as published in JHEP

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Cited by in corpus (7)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
• Individual Eigenvalue Distributions for the Wilson Dirac Operator
• Universality crossover between chiral random matrix ensembles and twisted SU(2) lattice Dirac spectra
• Janossy densities for chiral random matrix ensembles and their applications to two-color QCD
• The Smallest Eigenvalue Distribution in the Real Wishart-Laguerre Ensemble with Even Topology