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High energy scattering in the Unitary Toy Model

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arxiv 2406.12691 v1 pith:L3HTLF7E submitted 2024-06-18 hep-ph

Alex Kovner (UCONN) , Eugene Levin (Tel Aviv U.) , Michael Lublinsky (Ben Gurion U.) This is my paper · ORCID
classification hep-ph
keywords matrixapproachenergyhamiltonianhighmodelunitaryaddition
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abstract

We continue exploring the Unitary Toy Model (UTM) as a playground for high energy collisions in QCD. Our new approach is based on the diagonalization of the evolution Hamiltonian. Part of the spectrum can be identified with intercepts of dressed Pomerons. Analogously to QCD, a multi-Pomeron expansion of the $S$-matrix is badly divergent asymptotic series. Yet we succeeded to establish resummation procedures resulting in a well behaved $S$-matrix. In addition the Hamiltonian possesses negative eigenvalues, which dominate the approach of the $S$-matrix to saturation. We are hopeful that important lessons about BFKL-based Pomeron calculus could be taken from the toy world to real QCD.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dipole-dipole scattering at high energy in the Pomeron field theory with Braun Hamiltonian and beyond

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Deep in saturation, Braun-Hamiltonian pomeron calculus predicts S_dd = (S_BK)^4 for dipole-dipole scattering, four powers of the standard estimate, but the paper's own unitary toy model contradicts this prediction.

  2. Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel

    hep-ph 2025-12 conditional novelty 5.0 of 10

    In a leading-twist kernel, matching the BK solution to fan-diagram series yields KNO multiplicity distributions and gluon entropy S_E = ln(xG) for dipole-nucleus and dipole-dipole scattering.

  3. Particle production in the toy world: multiplicity distribution and entropy

    hep-ph 2024-12 conditional novelty 5.0 of 10

    In the Unitary Toy Model, final-state dipole multiplicity is computed via AGK cutting rules; its entropy matches the BFKL result S_E = ln(xG), while the UTM initial-state distribution differs.

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