• DOI:10.1103/PhysRevD.104.015028
• Corpus ID: 233346740

Asymptotic nonlocality

@article{Boos2021AsymptoticN,
  title={Asymptotic nonlocality},
  author={Jens Boos and Christopher D. Carone},
  journal={Physical Review D},
  year={2021}
}

• Jens Boos, C. Carone
• Published 23 April 2021
• Mathematics
• Physical Review D

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. ∗[e-mail] †[e-mail] 1 ar X iv :2 10 4. 11 19 5v 2 [ he pth ] 1 8 Ju n 20 21