Travelling waves and impact-parameter correlations

Details Travelling waves and impact-parameter correlations Travelling waves and impact-parameter correlations

2008-07-17

arxiv.org/abs/0807.2870v2

Phys.Rev.D78:054009,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 11 figures; corrected typos

Scientific paper

10.1103/PhysRevD.78.054009

It is usually assumed that the high-energy evolution of partons in QCD remains local in coordinate space. In particular, fixed impact-parameter scattering is thought to be in the universality class of one-dimensional reaction-diffusion processes as if the evolutions at different points in the transverse plane became uncorrelated through rapidity evolution. We check this assumption by numerically comparing a toy model with QCD-like impact-parameter dependence to its exact counterpart with uniform evolution in impact-parameter space. We find quantitative differences, but which seem to amount to a mere rescaling of the strong coupling constant. Since the rescaling factor does not show any strong alpha_s-dependence, we conclude that locality is well verified, up to subleading terms at small alpha_s.

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