PT Symmetry and Renormalization in a Pomeron Model
arXiv:0907.2581
Abstract
A novel perturbative analysis for the 2+1 local supercritical field theory of pomerons is developed. It is based on the PT symmetry of the model which allows to study a similar Hamiltonian with the same real perturbative spectrum. In the lowest non trivial order of perturbation theory the pomeron interactions are shown to lead to the renormalization of the slope. The appearance of a non local interaction for two pomeron states is such that at small coupling only scattering states are present and the spectrum of two particle states is not affected.
5 pages, latex, contribution to the proceedings of DIS2009 workshop
References in corpus (6)
- Operator expansion for high-energy scattering
- Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction
- Interactions of Reggeized Gluons in the Möbius Representation
- Solution for the BFKL Pomeron Calculus in zero transverse dimensions
- On the 'toy model" in the Reggeon field theory
- PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model