A Geometric Perspective on Algebraic Quantum Field Theory
Journal of Lie Theory, Tome 35 (2025) no. 4, pp. 879-908
Voir la notice de l'article provenant de la source Heldermann Verlag
We give a streamlined overview of some of the recent constructions provided with K.-H. Neeb, G. Olafsson and collaborators for a new geometric approach to Algebraic Quantum Field Theory. Motivations, fundamental concepts and some of the relevant results about the abstract structure of these models are here presented.
Classification :
22D10, 81T05
Mots-clés : Lie theory, Euler element, Algebraic Quantum Field Theory, Tomita-Takesaki theory, Modular Hamiltonian, Standard subspace, causal symmetric space
Mots-clés : Lie theory, Euler element, Algebraic Quantum Field Theory, Tomita-Takesaki theory, Modular Hamiltonian, Standard subspace, causal symmetric space
Affiliations des auteurs :
Vincenzo Morinelli  1
Vincenzo Morinelli. A Geometric Perspective on Algebraic Quantum Field Theory. Journal of Lie Theory, Tome 35 (2025) no. 4, pp. 879-908. http://geodesic.mathdoc.fr/item/JOLT_2025_35_4_a8/
@article{JOLT_2025_35_4_a8,
author = {Vincenzo Morinelli},
title = {A {Geometric} {Perspective} on {Algebraic} {Quantum} {Field} {Theory}},
journal = {Journal of Lie Theory},
pages = {879--908},
year = {2025},
volume = {35},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_4_a8/}
}