Effective field theory of interactions on the lattice
Nuclear Theory
2015-11-10 v2 Quantum Gases
Quantum Physics
Abstract
We consider renormalization of effective field theory interactions by discretizing the continuum on a tight-binding lattice. After studying the one-dimensional problem, we address s-wave collisions in three dimensions and relate the bare lattice coupling constants to the continuum coupling constants. Our method constitutes a very simple avenue for the systematic renormalization in effective field theory, and is especially useful as the number of interaction parameters increases.
Keywords
Cite
@article{arxiv.1307.4513,
title = {Effective field theory of interactions on the lattice},
author = {Manuel Valiente and Nikolaj T. Zinner},
journal= {arXiv preprint arXiv:1307.4513},
year = {2015}
}
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7 pages, 0 figures