A diagrammatic approach to correlation functions in superfluids

2025/04/22 by Alessia Biondi, Maria Luisa Chiofalo, Biondi, Alessia +5
Physics and Astronomy · #Correlation #Correlation function (quantum field theory) #Cosmology and Gravitation Theories #Diagrammatic reasoning #FOS: Physical sciences #Field (mathematics) #General relativity #Generality #High Energy Physics - Phenomenology (hep-ph) #Path integral formulation #Quantum Electrodynamics and Casimir Effect #Quantum Gases (cond-mat.quant-gas) #Quantum field theory #Quantum, superfluid, helium dynamics #Theory of relativity

paper · pdf · doi:10.48550/arxiv.2504.15648

openalex publication_date 2025/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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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