A New Action for Nonrelativistic Particle in Curved Background
arXiv:1907.01508 · doi:10.1016/j.physletb.2019.134834
Abstract
We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present derivation is based on the formalism of galilean gauge theory, introduced by us as an alternative method of analysing nonrelativistic symmetries in gravitational background.
arXiv comment10 pages, latex, to be published in phys.lett.b, journal version
References in corpus (14)
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Newtonian Gravity and the Bargmann Algebra
- Action Principle for Newtonian Gravity
- Density-curvature response and gravitational anomaly
- A new formulation of non-relativistic diffeomorphism invariance
- Standard and Generalized Newtonian Gravities as ``Gauge'' Theories of the Extended Galilei Group - I: The Standard Theory
- Gauge Theories of Gravitation
- Mechanics and Newton-Cartan-Like Gravity on the Newton-Hooke Space-time
- New approach to nonrelativistic diffeomorphism invariance and its applications
- Torsional Newton-Cartan geometry from Galilean gauge theory
- General algorithm for non-relativistic diffeomorphism invariance
- Milne boost from galilean gauge theory
- Nonrelativistic trace and diffeomorphism anomalies in particle number background
- Canonical Analysis of Non-Relativistic Particle and Superparticle
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- Canonical Formulation for a Non-relativistic Spinning Particle Coupled to Gravity
- Geometry of Nonrelativistic string