Universal scaling of the valence quark mass dependence of the chiral condensate

1995/09/26 by J. J. M. Verbaarschot · 3 citations
Physics and Astronomy · #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scaling #Strange quark #Valence (chemistry) #hep-lat #hep-ph

paper · pdf · doi:10.1016/0370-2693(95)01492-6

published as Phys.Lett. B368 (1996) 137-142 · Replaced the figures

arxiv created 1995/09/26 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recently, the Columbia group obtained the valence quark mass dependence of the chiral condensate for lattice QCD simulations with dynamical fermions for a series of couplings close to the critical temperature. In this letter we show that the data for temperatures below T_c and sufficiently small valence quark masses can be rescaled to fall on a universal curve. Using chiral random matrix theory we obtain an exact analytical expression for the shape of this curve. We also discuss the universal scaling behavior of the mass dependence of the mass derivatives of the chiral condensate (scalar susceptibilities).

Citations

• Chiral random matrix theory and QCD
• Universality of Brézin and Zee's spectral correlator
• Idealized multigrid algorithm for staggered fermions
• Spatial and temporal hadron correlators below and above the chiral phase transition

Cited by

• Replica Limit of the Toda Lattice Equation
• Topology and the Dirac operator spectrum in finite-volume gauge theories
• Spectral sum rules of the Dirac operator and partially quenched chiral condensates