Random matrix theory, chiral perturbation theory, and lattice data

1999/07/20 by M. E. Berbenni-Bitsch, M.E. Berbenni-Bitsch, M. Göckeler +7
Physics and Astronomy · #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0370-2693(99)01167-3

published as Phys.Lett.B466:293-300,1999 · LaTeX, 12 pages, 7 .eps figures

arxiv created 1999/07/20 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, the chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. We argue that the deviations of lattice results from random matrix theory starting around the so-called Thouless energy can be understood in terms of chiral perturbation theory as well. Comparison of lattice data with chiral perturbation theory formulae allows us to compute the pion decay constant. We present results from a calculation for quenched SU(2) with Kogut-Susskind fermions at β=2.0 and 2.2.

Citations

• Random-matrix theories in quantum physics: common concepts
• Small eigenvalues of the SU(3) Dirac operator on the lattice and in random matrix theory
• Evidence for quenched chiral logs
• Mass spectrum and decay constants in the continuum limit