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arXiv · 1812.01441

Transmutation of nonlocal scale in infinite derivative field theories

Luca Buoninfante·Anish Ghoshal·Gaetano Lambiase·Anupam Mazumdar
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Abstract

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. $M_{\rm eff}\sim M_s/N^\alpha,$ 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.

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Luca Buoninfante, Anish Ghoshal, Gaetano Lambiase, Anupam Mazumdar. 2018-12-04. Transmutation of nonlocal scale in infinite derivative field theories. https://doi.org/10.1103/physrevd.99.044032

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