6533b862fe1ef96bd12c6ece

RESEARCH PRODUCT

Finite-size scaling of the quark condensate in quenched lattice QCD

Laurent LellouchKarl JansenPilar Hernández

subject

QuarkPhysicsCondensed Matter::Quantum GasesNuclear and High Energy PhysicsChiral perturbation theoryFinite volume methodHigh Energy Physics::LatticeScalar (mathematics)High Energy Physics::PhenomenologyHigh Energy Physics - Lattice (hep-lat)FísicaFOS: Physical sciencesParticle Physics - LatticeFermionLattice QCDRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)ScalingMathematical physics

description

We confront the finite volume and small quark mass behaviour of the scalar condensate, determined numerically in quenched lattice QCD using Neuberger fermions, with predictions of quenched chiral perturbation theory. We find that quenched chiral perturbation theory describes the numerical data well, allowing us to extract the infinite volume, chiral limit scalar condensate, up to a multiplicative renormalization constant.

https://dx.doi.org/10.48550/arxiv.hep-lat/9907022