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On the size of gluon occupancies in saturation

A. H. Mueller

Abstract

The size of gluon occupancies, or equivalently the nuclear gluon TMD, at gluon transverse momentum $k_\perp \le Q_s(Y)$ is evaluated. Without Sudakov corrections the occupations can become arbitrarily large while Sudakov effects lead to maximum occupancies of size $(1/α)^{3/2}$. Results are the same for running coupling and fixed coupling dynamics. The coherent (elastic) TMD and inelastic gluon TMD are the same in the gluon saturation region. The saturated gluons in the light cone wavefunction seem to have little or no interaction among themselves.

On the size of gluon occupancies in saturation

Abstract

The size of gluon occupancies, or equivalently the nuclear gluon TMD, at gluon transverse momentum is evaluated. Without Sudakov corrections the occupations can become arbitrarily large while Sudakov effects lead to maximum occupancies of size . Results are the same for running coupling and fixed coupling dynamics. The coherent (elastic) TMD and inelastic gluon TMD are the same in the gluon saturation region. The saturated gluons in the light cone wavefunction seem to have little or no interaction among themselves.
Paper Structure (11 sections, 31 equations, 8 figures)

This paper contains 11 sections, 31 equations, 8 figures.

Table of Contents

  1. Introduction
  2. The McLerran-Venugopalan model
  3. A single quantum gluon with a MV-target
  4. More general target evolution in coherent electron scattering
  5. Including Sudakov effects
  6. Sudakov effects; fixed coupling
  7. Sudakov effects; running coupling
  8. Other issues
  9. Inelastic TMD's and gluon distributions
  10. The role of $Q^2$
  11. The nuclear wavefunction as a coherent state

Figures (8)

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  • ...and 3 more figures