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

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Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory

Marco Benini, Giorgio Musante, Alexander Schenkel
December 05, 2022
factorization algebras, algebraic quantum field theories, homological methods in gauge theory, globally hyperbolic Lorentzian manifolds, Green hyperbolic operators
open access link Lett Math Phys 114, 36 (2024)

Strictification theorems for the homotopy time-slice axiom

Marco Benini, Victor Carmona, Alexander Schenkel
August 08, 2022
algebraic quantum field theory, Gauge theory, homotopical algebra, chain complexes, operads, localizations
open access link Lett. Math. Phys. 113, 20 (2023)

Green hyperbolic complexes on Lorentzian manifolds

Marco Benini, Giorgio Musante, Alexander Schenkel
July 08, 2022
homological methods in gauge theory, globally hyperbolic Lorentzian manifolds, Green hyperbolic operators, dg-categories
open access link doi:10.1007/s00220-023-04807-5

Quantization of derived cotangent stacks and gauge theory on directed graphs

Marco Benini, Jonathan P. Pridham, Alexander Schenkel
January 25, 2022
Derived algebraic geometry, derived cotangent stack, quotient stack, Deformation quantization, lattice gauge theory
open access link

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