%0 Journal Article %T The gauge transformation of the constrained semi-discrete KP hierarchy %A Maohua Li %A Jipeng Cheng %A Jingsong He %J Physics %D 2013 %I arXiv %R 10.1142/S0217984913500437 %X In this paper, the gauge transformation of the constrained semi-discrete KP(cdKP) hierarchy is constructed explicitly by the suitable choice of the generating functions. Under the $m$-step successive gauge transformation $T_m$, we give the transformed (adjoint) eigenfunctions and the $\tau$-function of the transformed Lax operator of the cdKP hierarchy. %U http://arxiv.org/abs/1301.1416v2