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    Pseudogauge-Invariant Nonequilibrium Density Operator

    Francesco Becattini1,* and Carlos Hoyos2,†

    • *Contact author: becattini@fi.infn.it
    • †Contact author: hoyoscarlos@uniovi.es

    Phys. Rev. Lett. 137, 041602 – Published 23 July, 2026

    DOI: https://doi.org/10.1103/sk54-wd8z

    Abstract

    We obtain a form of the local thermodynamic equilibrium density operator, which is invariant under pseudogauge transformations of the stress-energy and the spin tensors. This operator is an excellent candidate to describe the dynamics of a system that is assumed to achieve local equilibrium from a pseudogauge-invariant quantum state, a situation that is believed to occur, for instance, in nuclear collisions at very high energy. As a consequence of pseudogauge invariance, the ambiguity affecting the predictions of mean values of observables from a local equilibrium state can be removed.

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