Abstract
We discuss the gauge structure of real time thermal quantum field theory (thermo field dynamics) for dissipative and inhomogeneous systems. We show that a covariant derivative may be conveniently introduced in order to recover the invariance of the lagrangian under space-time-dependent Bogoliubov transformations. In the case of inhomogeneous systems, although we recover canonical commutation relations, the problem of non-locality of the gauge field remains open.
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