2023/04/17 by Fayez Abu-Ajamieh, Abu-Ajamieh, Fayez, Sudhir K. Vempati +1
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2304.07965
openalex publication_date 2023/04/17 · openalex created_date 2023/04/21 · openalex updated_date 2026/07/28
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