Papers

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Background independence and the Adler-Bardeen theorem

Jochen Zahn
September 06, 2022
Anomalies, Gauge theory
open access link doi:10.1007/s00023-023-01368-0

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

On multimatrix models motivated by random noncommutative geometry II: A Yang-Mills-Higgs matrix model

Carlos I. Perez-Sanchez
May 03, 2021
finite almost-commutative manifolds, noncommutative geometry, Gauge theory, random noncommutative geometry, quantum gravity
open access link Ann. Henri Poincaré

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

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

Background independence in gauge theories

Mojtaba Taslimi Tehrani, Jochen Zahn
April 20, 2018
Background independence, Fedosov quantization, Gauge theory
open access link doi:10.1007/s00023-020-00887-4