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PT symmetry and Hermitian Hamiltonian in the local supercritical pomeron model

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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.

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Authors and Affiliations

  1. University of S. Petersburg, 198504, S. Petersburg, Russia

    M. A. Braun

  2. Dip. di Fisica, INFN—Sez. di Bologna, Via Irnerio 46, 40126, Bologna, Italy

    G. P. Vacca

Authors
  1. M. A. Braun
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  2. G. P. Vacca
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Correspondence to G. P. Vacca.

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Braun, M.A., Vacca, G.P. PT symmetry and Hermitian Hamiltonian in the local supercritical pomeron model. Eur. Phys. J. C 59, 795–808 (2009). https://doi.org/10.1140/epjc/s10052-008-0820-2

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  • DOI: https://doi.org/10.1140/epjc/s10052-008-0820-2

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