[Une approche diagrammatique des fonctions de corrélation dans les superfluides]
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.
Renaud Parentani a largement contribué au développement des modèles analogues gravitationnels, utilisés comme outils pour explorer divers et importants aspects de la relativité générale et de la théorie quantique des champs en espace-temps courbe. Dans ces systèmes, les fonctions de corrélation à deux points revêtent une importance capitale pour la caractérisation des processus se produisant à proximité de l’horizon acoustique. Dans le présent article, dédié à sa mémoire, nous présentons une étude des méthodes de l’intégrale de chemin permettant de déterminer les fonctions de corrélation à deux points par un développement perturbatif, d’une manière qui, au-delà de sa généralité, est particulièrement appropriée pour étudier ces processus. Nos résultats s’appliquent tant aux superfluides non relativistes, réalisables dans des expériences en laboratoire, qu’aux superfluides relativistes, pertinents pour les objets stellaires compacts.
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Mots-clés : Théorie des champs effectifs, fonctions de corrélation, superfluides inhomogènes
Alessia Biondi 1 ; Maria Luisa Chiofalo 2 ; Massimo Mannarelli 3 ; Silvia Trabucco 4
CC-BY 4.0
@article{CRPHYS_2024__25_S2_A18_0,
author = {Alessia Biondi and Maria Luisa Chiofalo and Massimo Mannarelli and Silvia Trabucco},
title = {A diagrammatic approach to correlation functions in superfluids},
journal = {Comptes Rendus. Physique},
year = {2024},
publisher = {Acad\'emie des sciences, Paris},
doi = {10.5802/crphys.261},
language = {en},
note = {Online first},
}
TY - JOUR AU - Alessia Biondi AU - Maria Luisa Chiofalo AU - Massimo Mannarelli AU - Silvia Trabucco TI - A diagrammatic approach to correlation functions in superfluids JO - Comptes Rendus. Physique PY - 2024 PB - Académie des sciences, Paris N1 - Online first DO - 10.5802/crphys.261 LA - en ID - CRPHYS_2024__25_S2_A18_0 ER -
%0 Journal Article %A Alessia Biondi %A Maria Luisa Chiofalo %A Massimo Mannarelli %A Silvia Trabucco %T A diagrammatic approach to correlation functions in superfluids %J Comptes Rendus. Physique %D 2024 %V 25 %N S2 %I Académie des sciences, Paris %Z Online first %R 10.5802/crphys.261 %G en %F CRPHYS_2024__25_S2_A18_0
Alessia Biondi; Maria Luisa Chiofalo; Massimo Mannarelli; Silvia Trabucco. A diagrammatic approach to correlation functions in superfluids. Comptes Rendus. Physique, Online first (2024), pp. 1-17. doi: 10.5802/crphys.261
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