Transmutation of nonlocal scale in infinite derivative field theories

Luca Buoninfante*, Anish Ghoshal, Gaetano Lambiase, Anupam Mazumdar

*Corresponding author for this work

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In this paper we will show an ultraviolet-infrared connection for ghost-free infinite derivative field theories where the Lagrangians are made up of exponentials of entire functions. In particular, for N-point amplitudes a new scale emerges in the infrared from the ultraviolet, i.e., M-eff similar to M-s / N-alpha, where M-s is the fundamental scale beyond the Standard Model and alpha > 0 depends on the specific choice of an entire function and on whether we consider zero or nonzero external momenta. We will illustrate this by first considering a scalar toy model with a cubic interaction and subsequently a scalar toy model inspired by ghost-free infinite derivative theories of gravity. We will briefly discuss some phenomenological implications, such as making the nonlocal region macroscopic in the infrared.

Original languageEnglish
Article number044032
Number of pages9
JournalPhysical Review D
Issue number4
Publication statusPublished - 19-Feb-2019

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