Solving effective field theory of interacting QCD pomerons in the semiclassical approximation
Abstract
Effective field theory of Balitsky, Fadin, Kuraev, and Lipatov (BFKL) pomerons interacting by QCD triple pomeron vertices is investigated. Classical equations of motion for the effective pomeron fields are presented being a minimal extension of the BalitskyKovchegov equation that incorporates both merging and splitting of the pomerons and that is selfdual. The equations are solved for symmetric boundary conditions. The solutions provide the dominant contribution to the scattering amplitudes in the semiclassical approximation. We find that for rapidities of the scattering larger than a critical value Y{sub c} at least two classical solutions exist. Curiously, for each of the two classical solutions with the lowest action the symmetry between the projectile and the target is found to be spontaneously broken, being however preserved for the complete set of classical solutions. The solving configurations at rapidities Y>Y{sub c} consist of a Gribov field being strongly suppressed even at very large gluon momenta and the complementary Gribov field that converges at high Y to a solution of the BalitskyKovchegov equation. Interpretation of the results is given and possible consequences are shortly discussed.
 Authors:
 II Institute for Theoretical Physics, University of Hamburg (Germany)
 DESY Theory Group, Hamburg (Germany)
 (Poland)
 Publication Date:
 OSTI Identifier:
 20929554
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.75.114015; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; EQUATIONS OF MOTION; GLUONS; MATHEMATICAL SOLUTIONS; PARTICLE RAPIDITY; POMERANCHUK PARTICLES; QUANTUM CHROMODYNAMICS; SCATTERING; SCATTERING AMPLITUDES; SEMICLASSICAL APPROXIMATION; SYMMETRY
Citation Formats
Bondarenko, S., Motyka, L., and Institute of Physics, Jagellonian University, Cracow. Solving effective field theory of interacting QCD pomerons in the semiclassical approximation. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.114015.
Bondarenko, S., Motyka, L., & Institute of Physics, Jagellonian University, Cracow. Solving effective field theory of interacting QCD pomerons in the semiclassical approximation. United States. doi:10.1103/PHYSREVD.75.114015.
Bondarenko, S., Motyka, L., and Institute of Physics, Jagellonian University, Cracow. Fri .
"Solving effective field theory of interacting QCD pomerons in the semiclassical approximation". United States.
doi:10.1103/PHYSREVD.75.114015.
@article{osti_20929554,
title = {Solving effective field theory of interacting QCD pomerons in the semiclassical approximation},
author = {Bondarenko, S. and Motyka, L. and Institute of Physics, Jagellonian University, Cracow},
abstractNote = {Effective field theory of Balitsky, Fadin, Kuraev, and Lipatov (BFKL) pomerons interacting by QCD triple pomeron vertices is investigated. Classical equations of motion for the effective pomeron fields are presented being a minimal extension of the BalitskyKovchegov equation that incorporates both merging and splitting of the pomerons and that is selfdual. The equations are solved for symmetric boundary conditions. The solutions provide the dominant contribution to the scattering amplitudes in the semiclassical approximation. We find that for rapidities of the scattering larger than a critical value Y{sub c} at least two classical solutions exist. Curiously, for each of the two classical solutions with the lowest action the symmetry between the projectile and the target is found to be spontaneously broken, being however preserved for the complete set of classical solutions. The solving configurations at rapidities Y>Y{sub c} consist of a Gribov field being strongly suppressed even at very large gluon momenta and the complementary Gribov field that converges at high Y to a solution of the BalitskyKovchegov equation. Interpretation of the results is given and possible consequences are shortly discussed.},
doi = {10.1103/PHYSREVD.75.114015},
journal = {Physical Review. D, Particles Fields},
number = 11,
volume = 75,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2007},
month = {Fri Jun 01 00:00:00 EDT 2007}
}

Starting from an underlying field theory in the eikonal approximation, interacting Pomerons are produced by retaining those Feynman graphs that correspond to selfenergy and related radiative corrections. MultipleReggeon tchannel thresholds may be viewed in a simple schannel field theory framework, while the degree of schannel unitarity required depends upon the spin content of the underlying field theory and the classes of permitted processes. An approximate eikonal calculation suggests how restricted triplePomeron interactions can serve to remove the bare Pomeron, and substitute an alternate asymptotic expression for sigma/sub tot/.

Total cross sections and diffraction scattering in a theory of interacting Pomerons with. cap alpha. /sub P/(0)>1
A method which is convenient for numerical calculations is proposed for the summation of the enhanced graphs in the theory of a supercritical Pomeron. The scattering amplitudes at high energies are obtained in the form of a rapidly convergent series in the number of screenings. Inclusion of the enhanced graphs corresponding to the interaction of the Pomerons reduces the value of sigma/sup tot/ and already becomes important for (s)/sup 1/2/ approx. >10/sup 3/10/sup 4/ GeV. Predictions are given for the main characteristics of NN diffraction scattering, the total and elastic cross sections, the slope of the diffraction peak, and themore »