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arXiv · 2504.15648

A diagrammatic approach to correlation functions in superfluids

Alessia Biondi·Maria Luisa Chiofalo·Massimo Mannarelli·Silvia Trabucco
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Abstract

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.

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Alessia Biondi, Maria Luisa Chiofalo, Massimo Mannarelli, Silvia Trabucco. 2025-04-22. A diagrammatic approach to correlation functions in superfluids. https://arxiv.org/abs/2504.15648

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