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Covariant momentum map thermodynamics for parametrized field theories

Chirco, Goffredo ; Laudato, Marco ; Mele, Fabio Maria



Abstract

A general-covariant statistical framework capable of describing classical fluctuations of the gravitational field is a thorny open problem in theoretical physics, yet ultimately necessary to understand the nature of the gravitational interaction, and a key to quantum gravity. Inspired by Souriau's symplectic generalization of the Maxwell-Boltzmann-Gibbs equilibrium in Lie group thermodynamics, we ...

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