6533b7dbfe1ef96bd12715f3

RESEARCH PRODUCT

Unitarity of Minkowski nonlocal theories made explicit

Alexey S. KoshelevAnna TokarevaAnna TokarevaAnna Tokareva

subject

PhysicsHigh Energy Physics - TheoryUnitarity010308 nuclear & particles physicsAnalytic continuationFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyScattering amplitudeAmplitudeHigh Energy Physics - Theory (hep-th)0103 physical sciencesEuclidean geometryMinkowski space010306 general physicsSignature (topology)Scalar fieldMathematical physics

description

In this work we explicitly show that the perturbative unitarity of analytic infinite derivative (AID) 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 non-local $\phi^4$ model for various infinite derivative operators. General UV properties of amplitudes in non-local theories are discussed.

10.1103/physrevd.104.025016http://repo.scoap3.org/api