Unitarity of Minkowski nonlocal theories made explicit
Koshelev, A. S., & Tokareva, A. (2021). Unitarity of Minkowski nonlocal theories made explicit. Physical Review D, 104(2), Article 025016. https://doi.org/10.1103/physrevd.104.025016
Published inPhysical Review D
© 2021 the Authors
In this work we explicitly show that the perturbative unitarity of analytic infinite derivative scalar field theories can be achieved using a modified prescription for computing scattering amplitudes. The crux of the new prescription is the analytic continuation of a result obtained in the Euclidean signature to the Minkowski external momenta. We intensively elaborate an example of a nonlocal ϕ4 model for various infinite derivative operators. General UV properties of amplitudes in nonlocal theories are discussed.
PublisherAmerican Physical Society (APS)
Publication in research information system
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF
Additional information about fundingThe authors would like to thank I. Aref’eva and M. Shaposhnikov for comments and questions on the manuscript. A. K. is supported by FCT Portugal investigator Project No. IF/01607/2015. A. T. is supported by the Academy of Finland Grant No. 318319. The part of the work performed by A. T. related to the numeric computations of the amplitudes is supported by the Russian Science Foundation Grant No. 19-12-00393. ...
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