Non-relativistic Spinning Particle in a Newton-Cartan Background
High Energy Physics - Theory
2018-01-11 v4
Abstract
We construct the action of a non-relativistic spinning particle moving in a general torsionless Newton-Cartan background. The particle does not follow the geodesic equations, instead the motion is governed by the non-relativistic analog of Papapetrou equation. The spinning particle is described in terms of Grassmann variables. In the flat case the action is invariant under the non-relativistic analog of space-time vector supersymmetry.
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Cite
@article{arxiv.1710.10970,
title = {Non-relativistic Spinning Particle in a Newton-Cartan Background},
author = {Andrea Barducci and Roberto Casalbuoni and Joaquim Gomis},
journal= {arXiv preprint arXiv:1710.10970},
year = {2018}
}
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