Asymptotic nonlocality in non-Abelian gauge theories

TL;DR

This paper extends the concept of asymptotic nonlocality to non-Abelian gauge theories, showing how a nonlocal scale can resolve the hierarchy problem while decoupling Lee-Wick resonances.

Contribution

It generalizes previous scalar and Abelian gauge theory results to non-Abelian theories, demonstrating the emergence of a nonlocal scale that addresses the hierarchy problem.

Findings

Decoupling of Lee-Wick spectrum in the non-Abelian context

Emergence of a hierarchically smaller nonlocal scale

Resolution of the hierarchy problem via nonlocality

Abstract

Asymptotically nonlocal field theories represent a sequence of higher-derivative theories whose limit point is a ghost-free, infinite-derivative theory. Here, we extend previous work on pure scalar and Abelian gauge theories to asymptotically nonlocal non-Abelian theories. In particular, we confirm that there is a limit in which the Lee-Wick spectrum can be decoupled, but where the hierarchy problem is resolved via an emergent nonlocal scale that regulates loop diagrams and that is hierarchically smaller than the lightest Lee-Wick resonance.