Galilean Anomalies and Their Effect on Hydrodynamics

Jain, Akash

Abstract

We study flavor and gravitational anomalies in Galilean theories coupled to torsional Newton-Cartan backgrounds. We establish that the relativistic anomaly inflow mechanism with an appropriately modified anomaly polynomial can be used to generate these anomalies. Similar to the relativistic case, we find that Galilean anomalies also survive only in even dimensions. Further, these anomalies only effect the flavor and rotational symmetries of a Galilean theory; in particular, the Milne boost symmetry remains nonanomalous. We also extend the transgression machinery used in relativistic fluids to Galilean fluids, and use it to determine how these anomalies affect the constitutive relations of a Galilean fluid. Unrelated to the Galilean fluids, we propose an analogue of the off-shell second law of thermodynamics for relativistic fluids, to include torsion and a conserved spin current in the vielbein formalism. Interestingly, we find that even in the absence of spin current and torsion the entropy currents in the two formalisms are different: while the usual entropy current gets a contribution from the gravitational anomaly, the entropy current in the vielbein formalism does not have any anomaly-induced part.

Citation

Jain, A. (2016). Galilean Anomalies and Their Effect on Hydrodynamics. Physical Review D, D93(6), Article 065007. https://doi.org/10.1103/physrevd.93.065007

• Journal Article Type: Article
• Online Publication Date: Mar 2, 2016
• Publication Date: Mar 1, 2016
• Deposit Date: May 3, 2016
• Publicly Available Date: May 6, 2016
• Journal: Physical Review D
• Print ISSN: 1550-7998
• Electronic ISSN: 1550-2368
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: D93
• Issue: 6
• Article Number: 065007
• DOI: https://doi.org/10.1103/physrevd.93.065007
• Public URL: https://durham-repository.worktribe.com/output/1383272
• Related Public URLs: https://arxiv.org/abs/1509.05777