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Randomness in infinitesimal extent in the McLerran-Venugopalan model · Around

2007

Randomness in infinitesimal extent in the McLerran-Venugopalan model

Fukushima, Kenji

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We study discrepancy between the analytical definition 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 the longitudinal randomness is lost in numerical simulations because of lack of the path-ordering of the Wilson line along the longitudinal direction.
We quantitatively investigate how much the results with and without longitudinal randomness differ from each other.

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Then

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K. Fukushima and Y. Hidaka, JHEP 0706
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2005

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F. Gelis and Y. Mehtar-Tani, Phys. Rev. D 73

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For reviews, see: E. Iancu and R. Venugopalan, arXiv:hep-ph/0303204; E. Iancu, A. Leonidov and L. McLerran, arXiv:hep-ph/0202270

Cited in the paper.

R. J. Fries, J. I. Kapusta and Y. Li, arXiv:nucl-th/0604054

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T. Lappi, arXiv:0711.3039 [hep-ph]

Cited in the paper.

K. Fukushima, F. Gelis and L. McLerran, Nucl. Phys. A 786

2007

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