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 new is continuation result obtained in Euclidean signature to Minkowski external momenta. We intensively elaborate an example non-local $\phi^4$ model various operators. General UV ...

We construct Euclidean Liouville conformal field theories in odd number of dimensions. The are nonlocal and non-unitary with a log-correlated field, ${\cal Q}$-curvature background, an exponential Liouville-type potential. study the classical quantum properties these including finite entanglement entropy part sphere partition function $F$, boundary anomaly vertex operators' correlation function...

It is argued that among possible nonlocal hidden-variable theories a particular class (called here ‘‘crypto-nonlocal’’ or CN) is relatively plausible on physical grounds. CN theories have the property that (for example) the two photons emitted in an atomic cascade process are indistinguishable in their individual statistical properties from photons emitted singly, and that in the latter case th...

We extend the argument of Gomis and Mehen for violation of unitarity in field theories with space-time noncommutativity to dipole field theories. In dipole field theories with a timelike dipole vector, we present 1-loop amplitudes that violate the optical theorem. A quantum mechanical system with nonlocal potential of finite extent in time also shows violation of unitarity.

In this paper we study two different ways of coupling a local operator with nonlocal one so that the resulting equation is related to an energy functional. first strategy given via source terms in equation, and second flux condition part appears. For both models prove existence uniqueness solution obtained direct minimization extend these ideas local/nonlocal elasticity which couple classical p...

Abstract A challenging task in nonlocal continuum mechanics consists formulating constitutive relations leading to well-posed structural problems. Several strategies have been adopted overcome issues inherent applicability of Eringen’s pure theory nanostructures, such as local/nonlocal mixtures elasticity and integral models involving modified averaging kernels. These can be applied the ill-pos...