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

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arxiv 1810.06244 v4 pith:Q2KIDVO3 submitted 2018-10-15 gr-qc

Pradip Mukherjee , Abdus Sattar This is my paper · ORCID
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keywords 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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  1. Can Non-Relativistic Strings Propagate Without Geometric Baggage?

    hep-th 2025-06 reject novelty 4.0 of 10

    The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.

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