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  • 1603.03440

    Rights statement: 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.

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

Research output: Contribution to journalJournal article

Published
Article number145005
<mark>Journal publication date</mark>20/06/2016
<mark>Journal</mark>Classical and Quantum Gravity
Issue number14
Volume33
Number of pages30
Publication statusPublished
Original languageEnglish

Abstract

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.

Bibliographic note

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.