On asymptotic solutions of Regge field theory in zero transverse dimensions

S. Bondarenko; L. Horwitz; J. Levitan; A. Yahalom

doi:10.1016/j.nuclphysa.2013.05.005

On asymptotic solutions of Regge field theory in zero transverse dimensions

S. Bondarenko, L. Horwitz, J. Levitan, A. Yahalom

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Abstract

An investigation of dynamical properties of solutions of a toy model of interacting Pomerons with triple vertex in zero transverse dimension is performed. Stable points and corresponding solutions at the limit of large rapidity are studied in the framework of a given model. It is shown that, at large rapidity, the "fan" amplitude is also a leading solution for the full RFT-0 (Regge Field Theory in zero transverse dimensions) Hamiltonian with both vertices of Pomeron splitting and merging included. An analytical form of the symmetrical solution of the equations of motion at high energy is obtained as well. For the solutions we have found, the scattering amplitude at large values of rapidity is calculated. Stability of the solutions is investigated by Lyapunov functions and the presence of closed cycles in solutions is demonstrated by the new method.

Original language	English
Pages (from-to)	49-65
Number of pages	17
Journal	Nuclear Physics A
Volume	912
DOIs	https://doi.org/10.1016/j.nuclphysa.2013.05.005
State	Published - 1 Aug 2013

Keywords

BK equation
Hadronic Physics and High Energy QCD (Theory)
Nuclei-niclei collision
Proton-proton collision
Regge Field Theory

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10.1016/j.nuclphysa.2013.05.005

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abstract = "An investigation of dynamical properties of solutions of a toy model of interacting Pomerons with triple vertex in zero transverse dimension is performed. Stable points and corresponding solutions at the limit of large rapidity are studied in the framework of a given model. It is shown that, at large rapidity, the {"}fan{"} amplitude is also a leading solution for the full RFT-0 (Regge Field Theory in zero transverse dimensions) Hamiltonian with both vertices of Pomeron splitting and merging included. An analytical form of the symmetrical solution of the equations of motion at high energy is obtained as well. For the solutions we have found, the scattering amplitude at large values of rapidity is calculated. Stability of the solutions is investigated by Lyapunov functions and the presence of closed cycles in solutions is demonstrated by the new method.",

keywords = "BK equation, Hadronic Physics and High Energy QCD (Theory), Nuclei-niclei collision, Proton-proton collision, Regge Field Theory",

author = "S. Bondarenko and L. Horwitz and J. Levitan and A. Yahalom",

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T1 - On asymptotic solutions of Regge field theory in zero transverse dimensions

AU - Bondarenko, S.

AU - Horwitz, L.

AU - Levitan, J.

AU - Yahalom, A.

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Y1 - 2013/8/1

N2 - An investigation of dynamical properties of solutions of a toy model of interacting Pomerons with triple vertex in zero transverse dimension is performed. Stable points and corresponding solutions at the limit of large rapidity are studied in the framework of a given model. It is shown that, at large rapidity, the "fan" amplitude is also a leading solution for the full RFT-0 (Regge Field Theory in zero transverse dimensions) Hamiltonian with both vertices of Pomeron splitting and merging included. An analytical form of the symmetrical solution of the equations of motion at high energy is obtained as well. For the solutions we have found, the scattering amplitude at large values of rapidity is calculated. Stability of the solutions is investigated by Lyapunov functions and the presence of closed cycles in solutions is demonstrated by the new method.

AB - An investigation of dynamical properties of solutions of a toy model of interacting Pomerons with triple vertex in zero transverse dimension is performed. Stable points and corresponding solutions at the limit of large rapidity are studied in the framework of a given model. It is shown that, at large rapidity, the "fan" amplitude is also a leading solution for the full RFT-0 (Regge Field Theory in zero transverse dimensions) Hamiltonian with both vertices of Pomeron splitting and merging included. An analytical form of the symmetrical solution of the equations of motion at high energy is obtained as well. For the solutions we have found, the scattering amplitude at large values of rapidity is calculated. Stability of the solutions is investigated by Lyapunov functions and the presence of closed cycles in solutions is demonstrated by the new method.

KW - BK equation

KW - Hadronic Physics and High Energy QCD (Theory)

KW - Nuclei-niclei collision

KW - Proton-proton collision

KW - Regge Field Theory

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On asymptotic solutions of Regge field theory in zero transverse dimensions

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