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Transmutation of nonlocal scale in infinite derivative field theories
- Source :
- Phys. Rev. D 99, 044032 (2019)
- Publication Year :
- 2018
-
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.<br />Comment: 9 pages, 3 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 99, 044032 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1812.01441
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.99.044032