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

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

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

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

A $C^*$-algebra for quantized principal $U(1)$-connections on globally hyperbolic Lorentzian manifolds

Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack, Alexander Schenkel
July 11, 2013
locally covariant quantum field theory, quantum field theory on curved spacetimes, gauge theory on principal bundles
open access link Commun. Math. Phys. 332, 477 (2014)

Quantized Abelian principal connections on Lorentzian manifolds

Marco Benini, Claudio Dappiaggi, Alexander Schenkel
March 11, 2013
locally covariant quantum field theory, quantum field theory on curved spacetimes, gauge theory on principal bundles
open access link doi:10.1007/s00220-014-1917-0