Effective Field Theories for Quantum Chromodynamics on the Lattice

TL;DR

This paper reviews how effective field theories like Chiral Perturbation Theory and Heavy Quark Effective Theory are used to address challenges in lattice QCD calculations of light and heavy-light hadrons, focusing on discretization, extrapolation, and finite volume effects.

Contribution

It provides a comprehensive review of lattice QCD results for light and b-hadrons within the framework of effective theories, highlighting their role in mitigating computational challenges.

Findings

Lattice results for light and b-hadrons are discussed within effective theories.

Effective theories help reduce discretization and finite volume effects.

The review emphasizes the importance of effective theories in lattice QCD calculations.

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.