Lattice methods and effective field theory
Abstract
Lattice field theory is a non-perturbative tool for studying properties of strongly interacting field theories, which is particularly amenable to numerical calculations and has quantifiable systematic errors. In these lectures we apply these techniques to nuclear Effective Field Theory (EFT), a non-relativistic theory for nuclei involving the nucleons as the basic degrees of freedom. The lattice formulation of [1,2] for so-called pionless EFT is discussed in detail, with portions of code included to aid the reader in code development. Systematic and statistical uncertainties of these methods are discussed at length, and extensions beyond pionless EFT are introduced in the final Section.
Cite
@article{arxiv.1608.02563,
title = {Lattice methods and effective field theory},
author = {Amy N. Nicholson},
journal= {arXiv preprint arXiv:1608.02563},
year = {2017}
}
Comments
Lectures prepared for the ECT* Doctoral Training Program, "Computational Nuclear Physics", April 13 - May 22, 2015. Submitted to Lect. Notes Phys., "An advanced course in computational nuclear physics: Bridging the scales from quarks to neutron stars", Morten Hjorth-Jensen, Maria Paola Lombardo, Ubirajara van Kolck, Editors. Code to be included online with published version