On the 'toy model" in the Reggeon field theory
| dc.creator | Braun, M. A. | |
| dc.creator | Vacca, G. P. | |
| dc.date | 2006-12-13 | |
| dc.date | 2006-12-23 | |
| dc.date.accessioned | 2026-07-07T11:22:19Z | |
| dc.date.available | 2026-07-07T11:22:19Z | |
| dc.description | The Reggeon field theory with zero transverse dimensions is studied in the Hamiltonian formulation for both sub-and supercritical pomeron. Mathematical aspects of the model, in particular the scalar products in the space of quantum states, are discussed. Relation to reaction-diffusion processes is derived in absence of pomeron merging. Numerical calculations for different parameters of the models, $α(0)-1=μ$ and the triple pomeron coupling constant $λ$, show that the triple pomeron interaction always makes amplitudes fall with rapidity irrespective of the value of the intercept. The smaller the values of the ratio $λ/μ$ the higher are rapidities $y$ at which this fall starts, so that at small values of $λ$ it begins at asymptotically high rapidities (for $λ/μ<1/4$ the fall is noticeable only at $μy>100$). No visible singularity is seen for the critical pomeron. A perturbative treatment is proposed which may be useful for more realistic models. | |
| dc.description | 22 pages, 8 figures, References added | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0612162 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0612162 | |
| dc.identifier | Eur.Phys.J.C50:857-869,2007 | |
| dc.identifier | doi:10.1140/epjc/s10052-007-0248-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194530 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | On the 'toy model" in the Reggeon field theory | |
| dc.type | text |