PT Symmetry and Renormalization in a Pomeron Model

TL;DR

This paper introduces a perturbative analysis of a PT-symmetric Pomeron model, demonstrating how interactions lead to slope renormalization without affecting the two-pomeron scattering spectrum.

Contribution

It develops a novel perturbative approach leveraging PT symmetry to analyze a supercritical Pomeron model, revealing renormalization effects and spectral properties.

Findings

Pomeron interactions cause slope renormalization.

Spectrum of two-pomeron states remains unaffected at small coupling.

Non-local interactions emerge for two-pomeron states.

Abstract

A novel perturbative analysis for the 2+1 local supercritical field theory of pomerons is developed. It is based on the PT symmetry of the model which allows to study a similar Hamiltonian with the same real perturbative spectrum. In the lowest non trivial order of perturbation theory the pomeron interactions are shown to lead to the renormalization of the slope. The appearance of a non local interaction for two pomeron states is such that at small coupling only scattering states are present and the spectrum of two particle states is not affected.