Method for proof of asymptotic theorems in presence of oscillations

Abstract

A simple method is derived which gives the asymptotic behavior of the forward scattering amplitude directly on the physical cut without any restriction on the nature of oscillations. Applications are given to high-energy theorems such as the Pomeranchuk theorems and consequences deduced from unitarity. Using the phase representation and the method developed, a number of results due to Khuri and Kinoshita, Jin and MacDowell, and Bessis and Kinoshita are derived and improved.