English

Gaussian pseudogauge invariant hydrodynamics with spin

High Energy Physics - Theory 2026-04-10 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Extending the Gaussian covariant hydrodynamics approach [1] using torsion as an auxiliary field we formulate a fluctuating hydrodynamics with spin which is covariant with respect to pseudo-gauge transformations as well as generally covariant with respect to foliations. This is done via the second order gravitational Ward identities, derived here in the torsionful case. This ensures that, while angular momentum observables depend covariantly on the pseudo-gauge, the dynamics is pseudo-gauge independent, thus clarifying the role of the pseudo-gauge in hydrodynamics with spin

Keywords

Cite

@article{arxiv.2604.07657,
  title  = {Gaussian pseudogauge invariant hydrodynamics with spin},
  author = {David Montenegro and Mariana Julia Pereira Dos Dores Savioli and Giorgio Torrieri},
  journal= {arXiv preprint arXiv:2604.07657},
  year   = {2026}
}

Comments

Comments, criticisms, questions and suggestions welcome

R2 v1 2026-07-01T12:00:17.155Z