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Relating Nets and Factorization Algebras of Observables: Free Field Theories

Relating Nets and Factorization Algebras of Observables: Free Field Theories

Abstract In this paper we relate two mathematical frameworks that make perturbative quantum field theory rigorous: perturbative algebraic quantum field theory (pAQFT) and the factorization algebras framework developed by Costello and Gwilliam. To make the comparison as explicit as possible, we use the free scalar field as our running example, …