Constrained Hamiltonian analysis of a non relativistic Schrodinger field coupled with C-S gravity
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gr-qc
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citetheoryanalysisconstrainedcoupledfieldgalileangauge
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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.
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