Regular Article - Theoretical Physics
PT symmetry and Hermitian Hamiltonian in the local supercritical pomeron model
University of S. Petersburg, 198504, S. Petersburg, Russia
2 Dip. di Fisica, INFN—Sez. di Bologna, Via Irnerio 46, 40126, Bologna, Italy
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Published online: 12 December 2008
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.
© Springer-Verlag , 2009