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math-ph2026
Prefactorization algebras of superselection sectors
Marco Benini, Victor Carmona, Alexander Schenkel
This paper revisits the theory of superselection sectors in algebraic quantum field theory from the modern perspective of prefactorization algebras. Under the standard assumptions…
math-ph2025
An equivalence theorem for algebraic and functorial QFT
Severin Bunk, James MacManus, Alexander Schenkel
This paper develops a novel approach to functorial quantum field theories (FQFTs) in the context of Lorentzian geometry. The key challenge is that globally hyperbolic Lorentzian bo…
math-ph2024
Derived algebraic geometry of 2d lattice Yang-Mills theory
Marco Benini, Tomás Fernández, Alexander Schenkel
A derived algebraic geometric study of classical -Yang-Mills theory on the -dimensional square lattice is presented. The derived critical locus of…