Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields

TL;DR

This paper derives explicit pseudo-gauge transformations for Dirac and Proca fields with interactions, linking quantum kinetic theory to relativistic spin hydrodynamics and discussing angular momentum decompositions.

Contribution

It provides explicit formulas for pseudo-gauge transformations considering interactions and connects quantum kinetic theory with relativistic spin hydrodynamics.

Findings

Explicit pseudo-gauge transformations for interacting fields

Connection established between quantum kinetic theory and spin hydrodynamics

Discussion on physical implications of angular momentum decompositions

Abstract

We present the explicit expressions of different pseudo-gauge transformations for Dirac and Proca fields considering a general interaction term. The particular case of the interaction of Dirac and Proca fields with a background electromagnetic field is also studied. Starting from the quantum kinetic theory with collisions derived from the Wigner-function formalism for massive spin-1/2 and spin-1 particles, we establish a connection between different pseudo-gauges and relativistic spin hydrodynamics. The physical implications of the various decompositions of orbital and spin angular momentum are discussed.