A C-algebraic Approach to Interacting Quantum Field Theories

• Published in: Communications in mathematical physics Vol. 377; no. 2; pp. 947 - 969
• Main Authors: Buchholz, Detlev, Fredenhagen, Klaus
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2020; Springer Nature B.V
• Subjects: Algebra; Axioms; Classical and Quantum Gravitation; Complex Systems; Field theory; Mathematical and Computational Physics; Mathematical Physics; Operators (mathematics); Physics; Physics and Astronomy; Quantum field theory; Quantum Physics; Quantum theory; Relativistic effects; Relativistic theory; Relativity; Relativity Theory; Scalars; Theoretical

A novel C*-algebraic framework is presented for relativistic quantum field theories, fixed by a Lagrangean. It combines the postulates of local quantum physics, encoded in the Haag–Kastler axioms, with insights gained in the perturbative approach to quantum field theory. Key ingredients are an appro...