Schrödinger representation of CP(N) model for large N

We examine the 1+1 dimensional CP(N) model in the large N limit by using the Schrödinger representation. Starting from the Hamiltonian analysis of the model, we present the variational gap equation resulting from the Gaussian trial wave functional. The renormalization of the theory is performed with insertion of mass and energy counter-terms, and the dynamical generation of mass and the energy eigenvalue are derived.