Challenges in Solving Chiral Hydrodynamics

• DOI: 10.48550/arxiv.2104.02110
• Publication Date: 2021-01-01
• Authors: Enrico Speranza; Fábio S. Bemfica; Marcelo M. Disconzi; Jorge Noronha
• Keywords: Anomaly (physics); Kinetic Theory

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