Speaker
Claude Bernard
(Washington University, Saint Louis)
Description
I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, but also touching upon Symanzik effective theory and heavy quark effective theory. Ifirst discuss the ways in which effective theories have enabled and supported lattice QCD calculations. Particular attention is paid to the inclusion of discretization errors, for a variety of lattice QCD actions, into chiral effective theory. Several other examples of the usefulness of chiral perturbation theory, including the encoding of partial quenching and of twisted boundary conditions, are also described. In the second part of the talk, I turn to results from lattice QCD for the low energy constants of the two- and three-flavor chiral theories. I concentrate here on mesonic quantities, but a few results for nucleons are also mentioned. Finally I discuss some recent preliminary lattice QCD calculations by the MILC Collaboration relating to the three-flavor chiral limit.
