2018/12/04 by Luca Buoninfante, Anish Ghoshal, Gaetano Lambiase +1
Physics and Astronomy · #hep-th #gr-qc #hep-ph
paper · pdf · doi:10.1103/physrevd.99.044032
published as Phys. Rev. D 99, 044032 (2019) · 9 pages, 3 figures
arxiv created 2018/12/04 · arxiv updated 2019/02/27
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\rm eff∼ Ms/Nα, where Ms is the fundamental scale beyond the Standard Model, and α>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.