Randomness in infinitesimal extent in the McLerran-Venugopalan model

Nov, 2007
9 pages
Published in:
  • Phys.Rev.D 77 (2008) 074005
e-Print:
Report number:
  • YITP-07-79

Citations per year

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Abstract: (arXiv)
We study discrepancy between the analytical formulation and the numerical implementation of the McLerran-Venugopalan (MV) model. The infinitesimal extent of a fast-moving nucleus should retain longitudinal randomness in the color source distribution even when the longitudinal extent approximates zero due to the Lorentz contraction, which is properly taken into account in the analytical treatment. We point out that longitudinal randomness is lost in numerical simulations because of lack of the infinitesimal path-ordering along the longitudinal direction. We quantitatively investigate how much the results with and without longitudinal randomness differ from each other. We finally mention on physical implication to the MV model analyses on the early-time dynamics in the relativistic heavy-ion collisions.
  • 24.85.+p
  • 12.38.-t
  • 25.75.-q
  • gauge field theory: SU(2)
  • gauge field theory: SU(3)
  • color glass condensate
  • color: random
  • correlation: length
  • scattering: heavy ion
  • tadpole