Challenges in solving chiral hydrodynamics

Enrico Speranza, Fábio S. Bemfica, Marcelo M. Disconzi, Jorge Noronha

Research output: Contribution to journalArticlepeer-review


We prove that ideal chiral hydrodynamics, as derived from chiral kinetic theory, is acausal and its initial-value problem is ill posed, both in the linearized case around a local equilibrium solution and also in the full nonlinear regime. Therefore, such theory cannot be used to determine how the chiral anomaly affects the hydrodynamic evolution. We show that these fundamental issues can be fixed by using different definitions (frames) for the hydrodynamic fields. This leads to a causal theory of ideal chiral hydrodynamics where the vorticity strength is constrained by the coefficient that encodes the anomaly.

Original languageEnglish (US)
Article number054029
JournalPhysical Review D
Issue number5
StatePublished - Mar 15 2023

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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