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

Vincenzo Morinelli  1

1 Dipartimento di Matematica, Università di Roma "Tor Vergata", Roma, Italy
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/
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     title = {A {Geometric} {Perspective} on {Algebraic} {Quantum} {Field} {Theory}},
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