Constrained Hamiltonian analysis of a non relativistic Schrodinger field coupled with C-S gravity

Abstract

We provide a constrained Hamiltonian analysis of a non relativistic Schrodinger field in 2+1 dimensions , coupled with Chern - Simons gravity. The coupling is achieved by the recently advanced Galilean gauge theory \cite{BMM1},\cite{ BMM2}, \cite{BM4}. The calculations are repeated with a truncated model to show that deviation from Galilean gauge theory makes the theory untenable. The issue of nonrelativistic spatial diffeomorphism is discussed in this context.

19 pages, Latex. This version is to remedy a mess in v3 which is spurious. This version is a considerably revised form of v2. Ignore v3