PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model

Details PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model

2008-10-29

arxiv.org/abs/0810.5270v1

Eur.Phys.J.C59:795-808,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, latex

Scientific paper

10.1140/epjc/s10052-008-0820-2

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.

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