Journal of Lie Theory

no. 4
A Geometric Perspective on Algebraic Quantum Field Theory
Journal of Lie Theory, Volume 35 (2025) no. 4, pp. 879-908
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.
DOI: 10.5802/jolt.1412
Classification: 22D10, 81T05
Keywords: Lie theory, Euler element, Algebraic Quantum Field Theory, Tomita-Takesaki theory, Modular Hamiltonian, Standard subspace, causal symmetric space 
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     author = {V. Morinelli},
     title = {A {Geometric} {Perspective} on {Algebraic} {Quantum} {Field} {Theory}},
     journal = {Journal of Lie Theory},
     pages = {879--908},
     year = {2025},
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     zbl = {08124775},
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V. Morinelli. A Geometric Perspective on Algebraic Quantum Field Theory. Journal of Lie Theory, Volume 35 (2025) no. 4, pp. 879-908. doi: 10.5802/jolt.1412

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