Chiral Shock Waves

TL;DR

This paper investigates how chiral transport phenomena modify shock wave behavior in relativistic chiral matter, revealing new types of shock waves and altered entropy relations.

Contribution

It demonstrates the modification of Rankine-Hugoniot relations and the emergence of rarefaction shock waves in chiral fluids, which are absent in nonchiral fluids.

Findings

Entropy discontinuity is quadratic in pressure discontinuity in weak shocks.

Rarefaction shock waves can occur in chiral matter.

Shock propagation direction is determined by vorticity and fermion chirality.

Abstract

We study the shock waves in relativistic chiral matter. We argue that the conventional Rankine-Hugoinot relations are modified due to the presence of chiral transport phenomena. We show that the entropy discontinuity in a weak shock wave is quadratic in the pressure discontinuity when the effect of chiral transport becomes sufficiently large. We also show that rarefaction shock waves, which do not exist in usual nonchiral fluids, can appear in chiral matter. The direction of shock wave propagation in a vorticity is found to be completely determined by the direction of the vorticity and the chirality of fermions. These features are exemplified by shock propagation in dense neutrino matter in the hydrodynamic regime.