High energy scattering in the Unitary Toy Model
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)127 |
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| author | Alex Kovner Eugene Levin Michael Lublinsky |
| author_facet | Alex Kovner Eugene Levin Michael Lublinsky |
| author_sort | Alex Kovner |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a108c53a2bc741a8aa2394d157bc5945 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a108c53a2bc741a8aa2394d157bc59452024-12-08T12:13:06ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013210.1007/JHEP10(2024)127High energy scattering in the Unitary Toy ModelAlex Kovner0Eugene Levin1Michael Lublinsky2Physics Department, University of ConnecticutDepartment of Particle Physics, Tel Aviv UniversityPhysics Department, Ben-Gurion University of the NegevAbstract 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.https://doi.org/10.1007/JHEP10(2024)127Deep Inelastic Scattering or Small-x PhysicsEffective Field Theories of QCD |
| spellingShingle | Alex Kovner Eugene Levin Michael Lublinsky High energy scattering in the Unitary Toy Model Journal of High Energy Physics Deep Inelastic Scattering or Small-x Physics Effective Field Theories of QCD |
| title | High energy scattering in the Unitary Toy Model |
| title_full | High energy scattering in the Unitary Toy Model |
| title_fullStr | High energy scattering in the Unitary Toy Model |
| title_full_unstemmed | High energy scattering in the Unitary Toy Model |
| title_short | High energy scattering in the Unitary Toy Model |
| title_sort | high energy scattering in the unitary toy model |
| topic | Deep Inelastic Scattering or Small-x Physics Effective Field Theories of QCD |
| url | https://doi.org/10.1007/JHEP10(2024)127 |
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