On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
arXiv:2108.03189 · doi:10.1016/j.physletb.2021.136705
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 Schrödinger-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.
arXiv comment7 pages; v2: matches version published in PLB plus an additional reference
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