High-energy scatterings in infinite-derivative field theory and ghost-free gravity

Talaganis, Spyridon and Mazumdar, Anupam (2016) High-energy scatterings in infinite-derivative field theory and ghost-free gravity. Classical and Quantum Gravity, 33 (14): 145005. ISSN 0264-9381

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In this paper, we will consider scattering diagrams in the context of infinite-derivative theories. First, we examine a finite-order, higher-derivative scalar field theory and find that we cannot eliminate the growth of scattering diagrams for large external momenta. Then, we employ an infinite-derivative scalar toy model and obtain that the external momentum dependence of scattering diagrams is convergent as the external momenta become very large. In order to eliminate the external momentum growth, one has to dress the bare vertices of the scattering diagrams by considering renormalised propagator and vertex loop corrections to the bare vertices. Finally, we investigate scattering diagrams in the context of a scalar toy model which is inspired by a ghost-free and singularity-free infinite-derivative theory of gravity, where we conclude that infinite derivatives can eliminate the external momentum growth of scattering diagrams and make the scattering diagrams convergent in the ultraviolet.

Item Type:
Journal Article
Journal or Publication Title:
Classical and Quantum Gravity
Additional Information:
This is an author-created, un-copyedited version of an article accepted for publication/published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi: 10.1088/0264-9381/33/14/145005.
Uncontrolled Keywords:
?? quantum gravitynon-localscattering diagramphysics and astronomy (miscellaneous) ??
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20 Jun 2017 11:46
Last Modified:
11 Apr 2024 00:38