Unitarity of Minkowski nonlocal theories made explicit
Alexey S. Koshelev, Anna Tokareva
Abstract
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 ${\ensuremath{\phi}}^{4}$ model for various infinite derivative operators. General UV properties of amplitudes in nonlocal theories are discussed.
Topics & Concepts
UnitarityMinkowski spaceAnalytic continuationScattering amplitudeMathematical physicsScalar (mathematics)ContinuationPhysicsAmplitudeEuclidean geometryScalar fieldField theory (psychology)MathematicsTheoretical physicsQuantum mechanicsMathematical analysisGeometryProgramming languageComputer scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories