A Proposed Renormalization Scheme for Non-local QFTs and Application to the Hierarchy Problem
Abstract
We propose a renormalization scheme for non-local Quantum Field Theories (QFTs) with infinite derivatives inspired by string theory. Our Non-locality Renormalization Scheme (NRS) is inspired by Dimensional Regularization (DR) in local QFTs and is shown to significantly improve the UV behavior of non-local QFTs. We illustrate the scheme using simple examples from the phi3 and phi4 theories, then we evaluate the viability of NRS-enhanced non-local QFTs to solve the hierarchy problem using a simplified toy model. We find that non-locality protects the mass of a light scalar from receiving large corrections from any UV sector to which it couples, as long as the non-locality scale M is sufficiently smaller than the scale of the UV sector. We also find that NRS eliminates any large threshold corrections from the IR sector
Keywords
Cite
@article{arxiv.2304.07965,
title = {A Proposed Renormalization Scheme for Non-local QFTs and Application to the Hierarchy Problem},
author = {Fayez Abu-Ajamieh and Sudhir K. Vempati},
journal= {arXiv preprint arXiv:2304.07965},
year = {2023}
}
Comments
11 Pages, 8 figures