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General algorithm for non-relativistic diffeomorphism invariance

arXiv:1501.05468 · doi:10.1103/PhysRevD.91.084021

Abstract

An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has been developed which involves both matter and gauge fields. A step by step procedure has been provided which can accommodate all types of (abelian) gauge interaction. The algorithm is applied to the problem of a two dimensional electron moving under an external field and also under the Chern-Simons dynamics.

30 pages, no figure, Section 4 has been modified, New section 5 has been introduced, to appear in Physical Review D