Carrollian fluids and spontaneous breaking of boost symmetry

Abstract

In the hydrodynamic regime, field theories typically have their boost symmetry spontaneously broken due to the presence of a thermal rest frame although the associated Goldstone field does not acquire independent dynamics. We show that this is not the case for Carrollian field theories where the boost Goldstone field plays a central role. This allows us to give a first-principles derivation of the equilibrium currents and dissipative effects of Carrollian fluids. We also demonstrate that the limit of vanishing speed of light of relativistic fluids is a special case of this class of Carrollian fluids. Our results shine light on the thermodynamic properties and thermal partition functions of Carrollian field theories.

5+8 pages, letter format; v2: added references and a new subsection in App. C; v3: typo in App. C corrected; v4: updated to published version

References in corpus (23)

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• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Carrollian Perspective on Celestial Holography
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• Constraints on the effective fluid theory of stationary branes
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Cited by in corpus (11)

• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Carrollian Supersymmetry and SYK-like models
• Quantization of Carrollian conformal scalar theories
• Dissipative fracton superfluids
• Radiation in Fluid/Gravity and the Flat Limit
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Hydrodynamics in the Carrollian regime
• Universal sectors of two-dimensional Carrollian CFTs
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Scaling Symmetry and Carrollian Gravity
• Rotating Carroll Black Holes: A No Go Theorem