Unitarity of Minkowski non-local theories made explicit

Abstract

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 ${\varphi }^4$ model for various infinite derivative operators. General UV properties of amplitudes in non-local theories are discussed.

arXiv comment16 pages, 7 figures; revision matching the published version

References in corpus (18)

• The galileon as a local modification of gravity
• Towards singularity and ghost free theories of gravity
• Horndeski theory and beyond: a review
• A Review on Tachyon Condensation in Open String Field Theories
• Ghost-free infinite derivative quantum field theory
• Fakeons And Lee-Wick Models
• Cutkosky Rules for Superstring Field Theory
• Superrenormalizable gauge and gravitational theories
• Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
• Cutkosky rules and perturbative unitarity in Euclidean nonlocal quantum field theories
• Nonlocal vertices and analyticity: Landau equations and general Cutkosky rule
• Analytic infinite derivative gravity, $R^2$-like inflation, quantum gravity and CMB
• Unitarity of the Box Diagram
• UV properties of Galileons: Spectral Densities
• Large N
• Non-local self-healing of Higgs inflation
• Ghost-free modification of the Polyakov action and Hawking radiation
• Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions

Cited by in corpus (26)

• Non-unitarity of Minkowskian non-local quantum field theories
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• Generalized non-local $R^2$-like inflation
• On the contour prescriptions in string-inspired nonlocal field theories
• Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly
• Asymptotic nonlocality in non-Abelian gauge theories
• Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios
• Visions in Quantum Gravity
• Amplitude prescriptions in field theories with complex poles
• Cosmology in nonlocal gravity
• Asymptotic nonlocality in gauge theories
• Early universe in quantum gravity
• Hamiltonian Formalism for Nonlocal Gravity Models
• Asymptotic nonlocality
• Path integral and conformal instability in nonlocal quantum gravity
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
• Fate of the false vacuum in string-inspired nonlocal field theory
• Extra Dimensions and Fuzzy Branes in String-inspired Nonlocal Field Theory
• Topological defects in nonlocal field theories
• Gravitational field of scalar lumps in higher-derivative gravity
• On the Meaning of Localization in Non-Local Quantum Field Theory
• Quantum gravity with purely virtual particles from asymptotically local quantum field theory
• Cosmic inflation in non-perturbative quantum gravity
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance
• Towards Hamiltonian Formalism for String Field Theory and Nonlocality