PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model

TL;DR

This paper investigates the PT symmetry in the Hamiltonian formulation of the local supercritical Pomeron model, revealing effects on pomeron interactions and the absence of bound states at small coupling.

Contribution

It introduces a perturbative analysis leveraging PT symmetry in the Pomeron model, showing renormalization effects and the structure of the pair potential without bound states.

Findings

Pomeron interactions renormalize the slope.

A non-local, singular pair potential is identified.

No bound states appear at small coupling.

Abstract

The local reggeon field theory is studied perturbatively taking advantage of the PT symmetry in the Hamiltonian formulation. In the lowest non trivial order we show that the pomeron interactions renormalize the slope. In the same order we find a non local pair potential acting between pomerons, which has a singular structure. However the analysis of the scattering operator shows that at small coupling constant bound states do not appear so that the two-particle spectrum is not changed.