Article
Asymptotic nonlocality
Physical Review D
(2021)
Abstract
We construct a theory of real scalar fields that interpolates between two different theories: a Lee-Wick theory with N propagator poles, including N−1 Lee-Wick partners, and a nonlocal infinite-derivative theory with kinetic terms modified by an entire function of derivatives with only one propagator pole. Since the latter description arises when taking the N→∞ limit, we refer to the theory as “asymptotically nonlocal.” Introducing an auxiliary-field formulation of the theory allows one to recover either the higher-derivative form (for any N) or the Lee-Wick form of the Lagrangian, depending on which auxiliary fields are integrated out. The effective scale that regulates quadratic divergences in the large-N theory is the would-be nonlocal scale, which can be hierarchically lower than the mass of the lightest Lee-Wick resonance. We comment on the possible utility of this construction in addressing the hierarchy problem.
Disciplines
Publication Date
July, 2021
DOI
https://doi.org/10.1103/PhysRevD.104.015028
Citation Information
Jens Boos and Christopher D. Carone. "Asymptotic nonlocality" Physical Review D Vol. 104 Iss. 1 (2021) Available at: http://works.bepress.com/christopher-carone/15/
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