Effective Field Theories for Quantum Chromodynamics on the Lattice

Abstract

Light and heavy-light (b) hadrons are among the most interesting and among the most challenging quantities to calculate in lattice gauge theory. One would like to avoid discretization effects from very heavy quarks and to calculate chiral extrapolations and to calculate finite volume effects from light quarks or to minimize these effects. For this one uses effective theories: Chiral Perturbation Theory and Nonrelativistic QCD or Heavy Quark Effective Theory. Lattice results are reviewed on hadrons containing light quarks and light and b quarks, and discussed in the framework of effective theories.