M_pi^2 versus m_q: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory

Abstract

I present a selection of CP-PACS and UKQCD data for the pseudo-Goldstone masses in $N_f=2$ QCD with doubly degenerate quarks. At least the more chiral points should be consistent with Chiral Perturbation Theory for the latter to be useful in an extrapolation to physical masses. I find consistency with the chiral prediction but no striking evidence for chiral logs. Nonetheless, the consistency guarantees that the original estimate, by Gasser and Leutwyler, of the $N_f=2$ QCD low-energy scale ${\Lambda }_3$ was not entirely wrong.

18 pages, 5 figures containing 7 graphs

References in corpus (4)

• ππscattering
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Effects of non-perturbatively improved dynamical fermions in QCD at fixed lattice spacing
• Determination of ${\Lambda }_{\overline{MS}}$ from quenched and $N_f=2$ dynamical QCD

Cited by in corpus (12)

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• An estimate of the chiral condensate from unquenched lattice QCD
• Light hadron spectroscopy in two-flavor QCD with small sea quark masses
• Hadron masses in QCD with one quark flavour
• Numerical simulations with two flavours of twisted-mass Wilson quarks and DBW2 gauge action
• Unified chiral analysis of the vector meson spectrum from lattice QCD
• An analysis of the nucleon spectrum from lattice partially-quenched QCD
• QCD spectroscopy with three light quarks