The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions

Disertori, Margherita; Merkl, Franz und Rolles, Silke W. W. (2022): The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions. In: Alea: Latin American Journal of Probability and Mathematical Statistics, Bd. 19: S. 1629-1648

Abstract

We study the non-linear supersymmetric hyperbolic sigma model H2§2 on a complete graph with hierarchical interactions. For interactions which do not decrease too fast in the hierarchical distance, we prove tightness of certain spin variables in horospherical coordinates, uniformly in the pinning and in the size of the graph. The proof relies on a reduction to an effective H2§2-model;its size is logarithmic in the size of the original model.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Informatik
• Themengebiete: 000 Informatik, Informationswissenschaft, allgemeine Werke > 004 Informatik
• ISSN: 1980-0436
• Sprache: Englisch