Effective Field Theories and Lattice QCD

Abstract

I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, and, to a lesser extent, Symanzik effective theory. I first 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 the dependence of the nucleon mass on the pion mass is also discussed. Finally I describe some recent preliminary lattice QCD calculations by the MILC Collaboration relating to the three-flavor chiral limit.

Talk given at the 8th International Workshop on Chiral Dynamics, June 29--July 3, 2015, Pisa, Italy. 23 pages, 14 figures

References in corpus (13)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Gradient flow and scale setting on MILC HISQ ensembles
• Effective field theories for QCD with rooted staggered fermions
• Spectral density of the Dirac operator in two-flavour QCD
• Low-energy constants and condensates from ALEPH hadronic $\tau$ decay data
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon regime
• A Combined NNLO Lattice-Continuum Determination of $L_{10}^r$
• Staggered Chiral Perturbation Theory for All-Staggered Heavy-Light Mesons

Cited by in corpus (1)

• Theoretical aspects of Chiral Dynamics