Renaud Parentani has given a vast contribution to the development of
gravitational analogue models as tools to explore various important aspects of
general relativity and of quantum field theory in curved space-time. In these
systems, two-point correlation functions are of the utmost importance for the
characterization of processes taking place close to the acoustic horizon. In
the present paper, dedicated to him, we present a study of path integral
methods that allow to determine two-point correlation functions by a
perturbative expansion, in a way that — beyond its generality — is especially
suited to analyze these processes. Our results apply to non-relativistic
superfluids, realizable in terrestrial experiments, as well as to relativistic
superfluids, relevant for compact stellar objects.

Questo articolo esplora i giri e le loro implicazioni.

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