The 10th International Conference on Chirality, Vorticity and Magnetic Fields in Quantum Matter (chirality 2026)

From spin-1/2 to spin-1: building the foundations of perfect spin hydrodynamics

Not scheduled

20m

Dehan Hotel(德翰大酒店)

oral

Speaker

Valeriya Mykhaylova (Jagiellonian University)

Description

We generalize the Wigner-function description of a relativistic gas of massive particles in local equilibrium to Fermi-Dirac statistics for spin-1/2 [1] and Bose-Einstein statistics for spin-1 [2]. We derive the corresponding thermodynamic currents and show that, up to second order in polarization, the resulting energy-momentum and spin tensors agree with those obtained for Boltzmann statistics and different spin representations. The macroscopic currents can be obtained by derivatives of a generating function with respect to the Lagrange multipliers, establishing a unified formulation of relativistic spin hydrodynamics independent of statistics and spin representation. We further show that the generating function identifies the framework as a divergence-type theory, providing nonlinear causality and stability of the resulting dynamical equations.

[1] S.K. Kar, V. Mykhaylova, arXiv:2511.09580.
[2] S. K. Kar, V. Mykhaylova, arXiv:2606.15364.