Relativistic hydrodynamics of a charged fluid from Myers-Pospelov Lorentz-Violating Electrodynamics
Year: 2026
Type: preprint
Abstract: We derive the equations of relativistic hydrodynamics for a charged fluid from Lorentz-violating Myers--Pospelov electrodynamics. Starting from the modified fermionic and electromagnetic equations of motion, we employ the covariant Wigner formalism to establish the semiclassical spectral constraints and distribution function, which, combined with Noether's theorem, yield the energy-momentum tensor, particle current, and corresponding conservation laws in the presence of Lorentz violation. The resulting hydrodynamic description contains Lorentz-violating corrections to the thermodynamic quantities and to the fluid currents. In the purely timelike sector, these corrections can be absorbed into effective thermodynamic quantities, preserving the isotropic structure of the fluid equations. In contrast, spacelike backgrounds introduce explicit contributions along the preferred direction, which cannot be absorbed into the standard hydrodynamic variables and give rise to anisotropic forces and torques. These effects lead to departures from standard relativistic charged-fluid hydrodynamics and provide a direct macroscopic manifestation of the Lorentz-violating background. Our results establish a first-principles framework for investigating the macroscopic consequences of Lorentz violation in relativistic charged fluids and provide a starting point for the development of a consistent Lorentz-violating relativistic magnetohydrodynamic theory.
Source: arXiv (Cornell University)
Authors: Duarte, Matheus, de Souza, Vitor
Institutions: Universidade de São Paulo, Instituto de Física de São Carlos
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212220935