Smooth 1-dimensional algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel
October 26, 2020
algebraic quantum field theory, stacks of categories, vertical geometry of fiber bundles, smoothly parametrized differential equations
open access link

Scaling limits of lattice quantum fields by wavelets

Vincenzo Morinelli, Gerardo Morsella, Alexander Stottmeister, Yoh Tanimoto
October 21, 2020
algebraic quantum field theory, scaling limit, Quantum field theory on lattices, renormalization group methods, Wavelet theory
open access link doi:10.1007/s00220-021-04152-5 article file

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