A diagrammatic approach to correlation functions in superfluids
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.
Keywords
Cite
@article{arxiv.2504.15648,
title = {A diagrammatic approach to correlation functions in superfluids},
author = {Alessia Biondi and Maria Luisa Chiofalo and Massimo Mannarelli and Silvia Trabucco},
journal= {arXiv preprint arXiv:2504.15648},
year = {2025}
}
Comments
16 pages, 2 figures