2015/08/31 by Arpita Mitra · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Formalism (music) #Gauge covariant derivative #Gauge theory #Geometric Analysis and Curvature Flows #Homogeneous space #Invariant (physics) #Scale invariance #gr-qc #hep-th
paper · pdf · doi:10.1142/s0217751x17502062
published in International Journal of Modern Physics A 32(36), 1750206 (World Scientific) · 27 pages, no figure
arxiv created 2017/12/15 · arxiv updated 2017/12/18 · openalex created_date 2017/12/22 · openalex publication_date 2017/12/30 · openalex updated_date 2026/08/05
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.