  We study the notion of work fluctuations in quantum field theory,
highlighting that the most common definitions used in finite-dimensional
quantum systems cannot be applied to quantum field theory (QFT). Then we
propose work distributions that are compatible with QFT and we show that they
satisfy the first law of thermodynamics up to second moments. We also show how
these distributions satisfy Crooks theorem and provide a fully non-perturbative
thermodynamic analysis of spacetime localized unitary processes on a quantum
field.

Quantum Physics;General Relativity and Quantum Cosmology;High Energy Physics - Theory