Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
High Energy Physics - Phenomenology
2021-07-07 v2
Abstract
This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and shown to reproduce the local theory -function in the limit of the non-local scale M . Interestingly, the gauge coupling stops its running beyond the scale , approaching an asymptotically conformal theory.
Cite
@article{arxiv.2010.15919,
title = {Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function},
author = {Anish Ghoshal and Anupam Mazumdar and Nobuchika Okada and Desmond Villalba},
journal= {arXiv preprint arXiv:2010.15919},
year = {2021}
}
Comments
Version accepted for publication in PRD. Minor changes in the text only