# General algorithm for nonrelativistic diffeomorphism invariance

@article{Banerjee2015GeneralAF, title={General algorithm for nonrelativistic diffeomorphism invariance}, author={Rabin Banerjee and Arpita Mitra and Pradip Mukherjee}, journal={Physical Review D}, year={2015}, volume={91}, pages={084021} }

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.

## 26 Citations

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## References

SHOWING 1-10 OF 30 REFERENCES

### On nonrelativistic diffeomorphism invariance

- Physics, Mathematics
- 2014

We study certain aspects of the recently proposed notion of nonrelativistic diffeomorphism invariance. In particular, we consider specific examples of invariant actions, extended gauge symmetry as…

### General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas

- Physics
- 2006

### On Galilean Covariance in a Nonrelativistic Model Involving a Chern–Simons Term

- Physics
- 1996

Abstract We consider a nonrelativistic model where a Schrodinger field has been coupled to an abelian Chern–Simons term. By performing Hamiltonian analysis of the model using the Faddeev–Jackiw…

### Classical and quantal nonrelativistic Chern-Simons theory.

- PhysicsPhysical review. D, Particles and fields
- 1990

The dynamical role of the Chern-Simons interaction is demonstrated: the interaction does not merely change statistics but also provides the forces that bind the classical solitons.

### Invariant theoretical interpretation of interaction

- Mathematics
- 1956

Some systems of fields have been considered which are invariant under a certain group of transformations depending on $n$ parameters. A general rule is obtained for introducing a new field in a…

### Gravitation, geometry, and nonrelativistic quantum theory

- Physics
- 1980

In Cartan's description, classical particles freely falling in a Newtonian gravitational field follow geodesics of a curved space-time. We cast this geodesic motion into generalized Hamiltonian form…

### Nonrelativistic superparticle in a curved background

- Physics
- 2014

Using a component formulation, we construct the supersymmetric action for a superparticle in a three-dimensional Newton-Cartan supergravity background and clarify its symmetries. Our construction…

### Newton-Cartan Geometry and the Quantum Hall Effect

- Physics
- 2013

We construct an effective field theory for quantum Hall states, guided by the requirements of nonrelativistic general coordinate invariance and regularity of the zero mass limit. We propose…

### Newtonian gravity and the Bargmann algebra

- Physics, Mathematics
- 2011

We show how the Newton–Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e. the centrally extended Galilean algebra. In this gauging procedure several…