On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
High Energy Physics - Theory
2022-01-07 v2
Abstract
We derive on-shell recursion relations for nonrelativistic effective field theories (EFTs) with enhanced soft limits. The recursion relations are illustrated through analytic calculation of tree-level scattering amplitudes in theories with a complex Schr\"odinger-type field, real scalar with linear dispersion relation, and real scalar with Lifshitz-type dispersion relation. Our results show that the landscape of gapless nonrelativistic EFTs with local -matrix can be constrained by soft theorems and the consistency of the low-energy -matrix similarly to massless relativistic EFTs.
Cite
@article{arxiv.2108.03189,
title = {On-Shell Recursion Relations for Nonrelativistic Effective Field Theories},
author = {Martin A. Mojahed and Tomas Brauner},
journal= {arXiv preprint arXiv:2108.03189},
year = {2022}
}
Comments
7 pages; v2: matches version published in PLB plus an additional reference