https://doi.org/10.1140/epjp/s13360-025-06725-y
Regular Article
Entropy in Toy Regge models
Department of High Energy Physics, Saint-Petersburg State University, 198504, Saint Petersburg, Russia
Received:
10
September
2024
Accepted:
5
August
2025
Published online:
4
September
2025
The probabilistic interpretation of the standard Regge-Gribov model with triple pomeron interactions is discussed. It is stated that introduction of probabilities within this model is not unique and depends on what is meant under the relevant substructures. The traditional interpretation in terms of partons (quarks and gluons) is shown to be external to the model, imported from the QCD, and actually referring to the single pomeron exchange without interactions. So this interpretation actually forgets the model as such. Alternative probabilities based on the pomerons as basic quantities within the model are discussed. Two different approaches are considered, based either on the pomerons in Fock’s expansion of the wave function or on pomeron propagators in Feynman diagrams. These pomeron probabilities and entropy turn out to be very different from the mentioned standard ones in the purely probabilistic treatment. The entropy, in particular, either rises with the rapidity and saturates at a certain fixed value or first rises, reaches some maximum and goes down to zero afterward. Possible observable manifestations of these probabilities and entropy are to be seen in the distributions of the cross-sections in powers n assuming that their dependence of the coupling constants g to the participants is presented as a series in 
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
