Random walks of partons inSU(Nc)and classical representations of color charges in QCD at smallx

摘要: The effective action for wee partons in large nuclei includes a sum over static color sources distributed wide range of representations the $\mathrm{S}\mathrm{U}({N}_{c})$ group. problem can be formulated as random walk ${N}_{c}\ensuremath{-}1$ dimensional space Casimir operators $\mathrm{S}\mathrm{U}({N}_{c})$. For number sources, $k\ensuremath{\gg}1$, we show explicitly that most likely representation is classical order $O(\sqrt{k})$. quantum well approximated by path integral with an exponential weight whose argument quadratic operator contributions higher ${N}_{c}\ensuremath{-}2$ are suppressed powers $k$. Other applications techniques developed here discussed briefly.