On Amplitudes and Field Redefinitions
High Energy Physics - Theory
2023-12-13 v1 High Energy Physics - Phenomenology
Abstract
We derive an off-shell recursion relation for correlators that holds at all loop orders. This allows us to prove how generalized amplitudes transform under generic field redefinitions, starting from an assumed behavior of the one-particle-irreducible effective action. The form of the recursion relation resembles the operation of raising the rank of a tensor by acting with a covariant derivative. This inspires a geometric interpretation, whose features and flaws we investigate.
Cite
@article{arxiv.2312.06748,
title = {On Amplitudes and Field Redefinitions},
author = {Timothy Cohen and Xiaochuan Lu and Dave Sutherland},
journal= {arXiv preprint arXiv:2312.06748},
year = {2023}
}
Comments
50 pages