Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-05-16
Phys.Rev. D54 (1996) 5795-5803
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages in LaTex+six figures
Scientific paper
10.1103/PhysRevD.54.5795
Using weak coupling methods McLerran and Venugopalan~\cite{LV1} expressed the parton distributions in large nuclei as correlation functions of a two dimensional Euclidean field theory. The theory has the dimensionful coupling $g^2 \mu $, where $\mu^2\sim A^{1/3}$ is the valence quark color charge squared per unit area. We use a lattice regularization to investigate these correlation functions both analytically and numerically for the simplified case of $SU(2)$ gauge theory. In weak coupling ($g^2\mu L<< 5$), where $L$ is the transverse size of the nucleus, the numerical results agree with the {\it analytic} lattice weak coupling results. For $g^2\mu L>> 5$, no solutions exist at O($a^4$) where $a$ is the lattice spacing. This suggests an ill-defined infrared behavior for the two dimensional theory. A recent proposal of McLerran et al.~\cite{Kovner} for an {\it analytic} solution of the classical problem is discussed briefly.
Gavai Rajiv V.
Venugopalan Raju
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