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Light dynamical fermions on the lattice: toward the chiral regime of QCD

Abstract

Algorithmic and technical progress achieved over the last few years makes QCD simulations with light dynamical quarks much faster than before. As a result lattices with pions as light as 250--300 MeV can be simulated with the present generation of computers. I review recent conceptual and numerical progress in this field, with particular emphasis on results obtained and difficulties encountered in simulations with significantly smaller quark masses with respect to previous computations. I also attempt to compare physical results for pion masses and decay constants available to date in the two-flavour theory with expectations from chiral perturbation theory.Comment: Plenary talk given at XXIVth International Symposium on Lattice Field Theory Lattice2006(plenary), Tucson, Arizona, 23-28 July 2006. Submitted to PoS in October 200

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