Scientific article
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Hydrodynamics without boosts

Published inThe journal of high energy physics, vol. 2020, 165
Publication date2020
First online date2020-07-23
Abstract

We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry group ℝ$_{t}$×ISO(d)×U(1). Such theories are important in a number of distinct situations, ranging from the hydrodynamics of graphene to flocking behaviour and the coarse-grained motion of self-propelled organisms. Furthermore, given the generality of this construction, we are able to deduce special cases with higher symmetry by taking the appropriate limits. In this way we write the complete first-order theory of Lifshitz-invariant hydrodynamics. Among other results we present a class of non-dissipative first order theories which preserve parity.

Keywords
  • Global Symmetries
  • Holography and condensed matter physics (AdS/CMT)
  • Space-Time Symmetries
  • Group: Euclidean
  • Higher-order: 1
  • Hydrodynamics
  • Particle number
  • Translation
  • Graphene
  • Parity
Citation (ISO format)
NOVAK, Igor, SONNER, Julian, WITHERS, Benjamin. Hydrodynamics without boosts. In: The journal of high energy physics, 2020, vol. 2020, p. 165. doi: 10.1007/jhep07(2020)165
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Article (Published version)
Identifiers
Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP07(2020)165
Journal ISSN1029-8479
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