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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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On the equivalence of AQFTs and prefactorization algebras

Marco Benini, Victor Carmona, Alastair Grant-Stuart, Alexander Schenkel
December 10, 2024
algebraic quantum field theory, factorization algebras, homotopical algebra, operads, localizations, Lorentzian geometry
open access link Lett. Math. Phys. 116, 13 (2026)

Derived algebraic geometry of 2d lattice Yang-Mills theory

Marco Benini, Tomás Fernández, Alexander Schenkel
September 10, 2024
Derived algebraic geometry, derived critical locus, lattice gauge theory, dg-categories, prefactorization algebras
open access link

Haag-Kastler stacks

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
April 22, 2024
algebraic quantum field theory, locally covariant quantum field theory, Lorentzian geometry, stacks, descent conditions, locally presentable categories
open access link doi:10.1142/S0219199725500993

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