2013
DOI: 10.1016/j.nuclphysa.2013.05.005
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On asymptotic solutions of Regge field theory in zero transverse dimensions

Abstract: An investigation of dynamical properties of solutions of 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 given model. A presence of closed cycles in solutions is discussed as well as an application of obtained results for the case of interacting QCD Pomerons. *

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Cited by 8 publications
(4 citation statements)
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“…Calculating these vertices one after another we will reconstruct the expression similar to introduced in [8], see also [57][58][59][60][61][62][63][64][65][66][67][68], which can be considered as QCD Hamiltonian for reggeized gluon fields. There are the following well-known vertices of the interactions of reggeon fields.…”
Section: Interaction Kernels and Propagators Of Reggeized Gluonsmentioning
confidence: 99%
“…Calculating these vertices one after another we will reconstruct the expression similar to introduced in [8], see also [57][58][59][60][61][62][63][64][65][66][67][68], which can be considered as QCD Hamiltonian for reggeized gluon fields. There are the following well-known vertices of the interactions of reggeon fields.…”
Section: Interaction Kernels and Propagators Of Reggeized Gluonsmentioning
confidence: 99%
“…Namely, it is a problem of the existence of a classical two-valued boundary solution. Such solutions are known in high-energy scattering, see [94][95][96][97][98] for examples. This question we plan to investigate in an additional publication.…”
Section: Discussionmentioning
confidence: 99%
“…Lipatov's effective action approach, [1][2][3][4][5][6][7][8][9][10][11][12][13], can be considered as Regge Field Theory (RFT) constructed on the base of QCD and intended to to take account of unitarity corrections to the high-energy scattering amplitudes in the multi-Regge kinematics, see . It also can be considered as a further generalization of phenomenological RFT [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. The formalism is based on the reggeized gluons (reggeons) as the main degrees of freedom, with the Pomeron calculus, [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68], introduced on the base of colorless Reggeons states.…”
Section: Introductionmentioning
confidence: 99%