Papers

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Categorification of algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel, Lukas Woike
March 30, 2020
algebraic quantum field theory, 2-categories, 2-operads, quasi-coherent sheaves, locally presentable linear categories, categorified orbifold theories, local-to-global extensions
open access link

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

Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds

Marco Benini, Marco Perin, Alexander Schenkel
March 08, 2019
algebraic quantum field theory, factorization algebras, Lorentzian geometry
open access link doi:10.1007/s00220-019-03561-x

Higher Structures in Algebraic Quantum Field Theory

Marco Benini, Alexander Schenkel
March 07, 2019
algebraic quantum field theory, gauge field theories, higher structures, model categories, colored operads, stacks
open access link Fortschr. Phys. 67, 1910015 (2019) article file

Algebraic field theory operads and linear quantization

Simen Bruinsma, Alexander Schenkel
September 14, 2018
algebraic quantum field theory, locally covariant quantum field theory, colored operads, universal constructions, Gauge theory, model categories
open access link doi:10.1007/s11005-019-01195-7

Homotopy theory of algebraic quantum field theories

Marco Benini, Alexander Schenkel, Lukas Woike
May 22, 2018
algebraic quantum field theory, Gauge theory, BRST/BV formalism, model categories, colored operads, homotopy algebras, E_infinity-algebras, stacks
open access link doi:10.1007/s11005-018-01151-x

Involutive categories, colored $\ast$-operads and quantum field theory

Marco Benini, Alexander Schenkel, Lukas Woike
February 26, 2018
involutive categories, involutive monoidal categories, *-monoids, colored operads, *-algebras, algebraic quantum field theory
open access link

Algebraic quantum field theory on spacetimes with timelike boundary

Marco Benini, Claudio Dappiaggi, Alexander Schenkel
December 18, 2017
algebraic quantum field theory, timelike boundaries
open access link doi:10.1007/s00023-018-0687-1

Operads for algebraic quantum field theory

Marco Benini, Alexander Schenkel, Lukas Woike
September 25, 2017
algebraic quantum field theory, locally covariant quantum field theory, colored operads, change of color adjunctions, Fredenhagen’s universal algebra
open access link doi:10.1142/S0219199720500078

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)

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