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Research PapersNo Access

Nonrelativistic fluids on scale covariant Newton–Cartan backgrounds

Arpita Mitra

http://orcid.org/0000-0001-6625-1791

S. N. Bose National Centre for Basic Sciences, Block J.D., Sector III, Salt Lake, Kolkata 700 106, India

E-mail Address: arpita12t@bose.res.in

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https://doi.org/10.1142/S0217751X17502062Cited by:2 (Source: Crossref)

Abstract

The nonrelativistic covariant framework for fields is extended to investigate fields and fluids on scale covariant curved backgrounds. The scale covariant Newton–Cartan background is constructed using the localization of space–time symmetries of nonrelativistic fields in flat space. Following this, we provide a Weyl covariant formalism which can be used to study scale invariant fluids. By considering ideal fluids as an example, we describe its thermodynamic and hydrodynamic properties and explicitly demonstrate that it satisfies the local second law of thermodynamics. As a further application, we consider the low energy description of Hall fluids. Specifically, we find that the gauge fields for scale transformations lead to corrections of the Wen–Zee and Berry phase terms contained in the effective action.

Keywords:

PACS: 04.20.-q, 04.62.+v, 03.50.-z

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Journal cover image

Vol. 32, No. 36

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History

Received 6 September 2017

Revised 15 November 2017

Accepted 20 November 2017

Published: 29 December 2017

Keywords