PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model

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.

20 pages, latex

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Cited by in corpus (5)

• Could reggeon field theory be an effective theory for QCD in the Regge limit?
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Scattering in pseudo-Hermitian quantum field theory and causality violation
• PT Symmetry and Renormalization in a Pomeron Model
• Renormalization group analysis of reggeon field theory: flow equations