Convergence of Dynamics on Inductive Systems of Banach Spaces

Autor:	van Luijk, Lauritz, Stottmeister, Alexander, Werner, Reinhard F.
Rok vydání:	2023
Předmět:	Mathematical Physics Mathematics - Operator Algebras Quantum Physics
Zdroj:	Annales Henri Poincar\'e (2024)
Druh dokumentu:	Working Paper
DOI:	10.1007/s00023-024-01413-6
Popis:	Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the thermodynamic limit, the emergence of classical mechanics from quantum theory at large action, and continuum quantum field theory arising from renormalization group fixed points. It would seem that few methods can be useful in such diverse applications. However, we here present a flexible modeling tool for the limit of theories: soft inductive limits constituting a generalization of inductive limits of Banach spaces. In this context, general criteria for the convergence of dynamics will be formulated, and these criteria will be shown to apply in the situations mentioned and more. Comment: Comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.16063 Zobrazit plný text záznamu View this record from Arxiv