English

Carroll hydrodynamics with spin

High Energy Physics - Theory 2026-05-06 v2 Nuclear Theory

Abstract

We formulate Carroll hydrodynamics with the inclusion of a spin current. Our strategy relies on the fact that the c0c\to 0 limit of relativistic hydrodynamics yields the equations of Carroll hydrodynamics. Starting with the pre-ultralocal parametrization of the background geometry and the hydrodynamic degrees of freedom for a relativistic fluid endowed with a spin current, the c0c\to 0 limit produces Carroll hydrodynamics with spin. It is known that boost-invariant hydrodynamic models for ultrarelativistic fluids relevant for the physics of quark-gluon plasma, such as Bjorken and Gubser flow, are manifestations of Carroll hydrodynamics under appropriate geometric choices for the underlying Carrollian structure. In this work, we further this mapping between such boost-invariant models and Carroll hydrodynamics, now with the inclusion of a spin current.

Keywords

Cite

@article{arxiv.2601.15023,
  title  = {Carroll hydrodynamics with spin},
  author = {Ashish Shukla and Rajeev Singh and Pushkar Soni},
  journal= {arXiv preprint arXiv:2601.15023},
  year   = {2026}
}

Comments

v1: 35 pages, 1 figure; v2: 41 pages, minor improvements

R2 v1 2026-07-01T09:14:13.017Z