Göttingen 2025 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Operator Algebras

MP 10.4: Talk

Thursday, April 3, 2025, 15:10–15:30, ZHG001

Finite Temperature States on Crossed Product Algebras — •Johannes Große, Ricardo Correa da Silva, and Gandalf Lechner — FAU Erlangen-Nürnberg, Department Mathematik

In this work, we study the finite temperature behaviour of a (1 + 1)-dimensional fermionic quantum field theory of two particle types. As the thermal equilibrium behaviour of one particle type is well-known, the main work focuses on extending thermal equilibrium states from a theory consisting of one particle type to that of two particle types. The issue of extending thermal equilibrium states can be naturally framed in the language of Tomita-Takesaki modular theory and crossed product algebras.

Keywords: algebraic quantum field theory; finite temperature; thermal states; Tomita-Takesaki modular theory; crossed product algebras