### Covariant effective action for a Galilean invariant quantum Hall system

Here, we construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of curved Galilean spacetimes, including torsion and a gravitational field, allowing us to study charge, energy, stress and mass currents within a unified framework. A shift symmetry specific to single constituent theories constraints the effective action to couple to an effective background gauge field and spin connection that is solved for by a self-consistent equation, providing a manifestly covariant extension of Hoyos and Son’s improvement terms to arbitrary order in m.

- Publication Date:

- Grant/Contract Number:
- FG02-13ER41958; SC0009924

- Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 9; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Research Org:
- Univ. of Chicago, Chicago, IL (United States), Enrico Fermi Inst. and Dept. of Physics

- Sponsoring Org:
- USDOE

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective field theories; Space-Time Symmetries

- OSTI Identifier:
- 1395559

```
Geracie, Michael, Prabhu, Kartik, and Roberts, Matthew M.
```*Covariant effective action for a Galilean invariant quantum Hall system*. United States: N. p.,
Web. doi:10.1007/JHEP09(2016)092.

```
Geracie, Michael, Prabhu, Kartik, & Roberts, Matthew M.
```*Covariant effective action for a Galilean invariant quantum Hall system*. United States. doi:10.1007/JHEP09(2016)092.

```
Geracie, Michael, Prabhu, Kartik, and Roberts, Matthew M. 2016.
"Covariant effective action for a Galilean invariant quantum Hall system". United States.
doi:10.1007/JHEP09(2016)092. https://www.osti.gov/servlets/purl/1395559.
```

```
@article{osti_1395559,
```

title = {Covariant effective action for a Galilean invariant quantum Hall system},

author = {Geracie, Michael and Prabhu, Kartik and Roberts, Matthew M.},

abstractNote = {Here, we construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of curved Galilean spacetimes, including torsion and a gravitational field, allowing us to study charge, energy, stress and mass currents within a unified framework. A shift symmetry specific to single constituent theories constraints the effective action to couple to an effective background gauge field and spin connection that is solved for by a self-consistent equation, providing a manifestly covariant extension of Hoyos and Son’s improvement terms to arbitrary order in m.},

doi = {10.1007/JHEP09(2016)092},

journal = {Journal of High Energy Physics (Online)},

number = 9,

volume = 2016,

place = {United States},

year = {2016},

month = {9}

}