@article{de95c28d01ae44dc8907416968e00a14,
title = "Challenges in solving chiral hydrodynamics",
abstract = "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.",
author = "Enrico Speranza and Bemfica, {F{\'a}bio S.} and Disconzi, {Marcelo M.} and Jorge Noronha",
note = "Funding Information: The authors thank A. Sadofyev for useful discussions and W. Zajc for valuable comments about the constraints on the vorticity strength. M. M. D. is partially supported by a Sloan Research Fellowship provided by the Alfred P. Sloan Foundation, by NSF Grant No. DMS-2107701, and by a Dean{\textquoteright}s Faculty Fellowship. J. N. is partially supported by the U.S. Department of Energy, Office of Science, Office for Office of Nuclear Physics under Award No. DE-SC0021301. Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license.",
year = "2023",
month = mar,
day = "15",
doi = "10.1103/PhysRevD.107.054029",
language = "English (US)",
volume = "107",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "5",
}