Papers

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Covariant homogeneous nets of standard subspaces

Vincenzo Morinelli, Karl-Hermann Neeb
October 14, 2020
algebraic quantum field theory, nets of standard subspaces, Lie groups, representation theory, Bisognano-Wichmann property
open access link doi:10.1007/s00220-021-04046-6 article file

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 Lett. Math. Phys. 111, 35 (2021)

Operator-algebraic renormalization and wavelets

Alexander Stottmeister, Vincenzo Morinelli, Gerardo Morsella, Yoh Tanimoto
February 04, 2020
algebraic quantum field theory, scaling limit, Quantum field theory on lattices, renormalization group methods, Wavelet theory
open access link Phys. Rev. Lett. 127, 230601 (2021) article file

The Bisognano-Wichmann property for asymptotically complete massless QFT

Wojciech Dybalski, Vincenzo Morinelli
September 26, 2019
algebraic quantum field theory, Bisognano Wichmann theorem, scattering theory
open access link doi:10.1007/s00220-020-03755-8 article file

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

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