A Gaussian effective theory for gluon saturation

Dec, 2002
41 pages
Published in:
  • Nucl.Phys.A 724 (2003) 181-222
e-Print:
Report number:
  • SACLAY-T02-181

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Abstract:
We construct a Gaussian approximation to the effective theory for the Colour Glass Condensate which describes correctly the gluon distribution both in the low density regime at high transverse momenta (above the saturation scale QsQ_s), and in the high density regime below QsQ_s, and provides a simple interpolation between these two regimes. At high momenta, the effective theory reproduces the BFKL dynamics, while at low momenta, it exhibits gluon saturation and, related to it, colour neutrality over the short distance scale 1/Qs1/ΛQCD1/Q_s \ll 1/\Lambda_{QCD}. Gauge--invariant quantities computed within this approximation are automatically infrared finite.
Note:
  • 41 pages, 7 figure Report-no: SACLAY-T02/181
  • quantum chromodynamics: perturbation theory
  • color glass condensate
  • color: condensation
  • gluon: momentum spectrum
  • gluon: saturation
  • renormalization group: small-x
  • Lipatov equation
  • hadron: scattering amplitude
  • color: dipole
  • numerical calculations