Exploring the Lipatov equation

Oct, 1991
7 pages
Published in:
  • Phys.Lett.B 276 (1992) 196-202
  • Published: 1992
Report number:
  • CERN-TH-6300-91,
  • PSU-TH-95

Citations per year

1992199920062013202002468101214
Abstract: (Elsevier)
Properties of the Lipatov equation for the small x behaviour in deep inelastic scattering are explored. In particular, the effect of imposing upper and lower cutoffs on the transverse momentum integral in the equation is analysed. The lower cutoff, needed to avoid integration over momenta where the gluon propagators are nonperturbative, does not change the output power. Imposing both a lower and an upper cutoff, so as to take account of kinematic limitations at subasymptotic values of Q 2 , has an important effect even at HERA energies. This will make it difficult to separate the perturbative pomeron from the nonperturbative one seen already in soft hadronic collisions.
  • lepton nucleon: deep inelastic scattering
  • deep inelastic scattering: lepton nucleon
  • structure function: small-x
  • model: pomeron
  • gluon: propagator
  • quantum chromodynamics: perturbation theory
  • Lipatov equation: solution
  • nonperturbative
  • ladder approximation
  • renormalization