Papers

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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)

Relative Cauchy evolution for linear homotopy AQFTs

Simen Bruinsma, Christopher J. Fewster, Alexander Schenkel
August 24, 2021
algebraic quantum field theory, relative Cauchy evolution, Gauge theory, homotopical algebra, chain complexes, BRST/BV formalism
open access link doi:10.1007/s00220-022-04352-7

Linear Yang-Mills theory as a homotopy AQFT

Marco Benini, Simen Bruinsma, Alexander Schenkel
June 03, 2019
algebraic quantum field theory, locally covariant quantum field theory, Gauge theory, derived critical locus, homotopical algebra, chain complexes, BRST/BV formalism
open access link doi:10.1007/s00220-019-03640-z

The stack of Yang-Mills fields on Lorentzian manifolds

Marco Benini, Alexander Schenkel, Urs Schreiber
April 05, 2017
Yang-Mills theory, globally hyperbolic Lorentzian manifolds, Cauchy problem, stacks, presheaves of groupoids, homotopical algebra, model categories
open access link Commun. Math. Phys. (2018)

Quantum field theories on categories fibered in groupoids

Marco Benini, Alexander Schenkel
October 19, 2016
locally covariant quantum field theory, fibered categories, Kan extension, homotopical algebra, homotopical quantum field theory
open access link doi:10.1007/s00220-017-2986-7