Papers

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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

Lorentzian bordisms in algebraic quantum field theory

Severin Bunk, James MacManus, Alexander Schenkel
August 02, 2023
algebraic quantum field theory, functorial field theory, Lorentzian geometry, bordisms, pseudo-categories
open access link

Operads, homotopy theory and higher categories in algebraic quantum field theory

Marco Benini, Alexander Schenkel
May 05, 2023
algebraic quantum field theory, operads, model categories, higher category theory
open access link

The linear CS/WZW bulk/boundary system in AQFT

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
February 14, 2023
algebraic quantum field theory, boundary conditions in gauge theory, chiral conformal field theory, Chern-Simons theory, Wess-Zumino-Witten model
open access link doi:10.1007/s00023-023-01346-6

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)

A skeletal model for 2d conformal AQFTs

Marco Benini, Luca Giorgetti, Alexander Schenkel
November 02, 2021
algebraic quantum field theory, conformal field theory, localization of categories
open access link doi:10.1007/s00220-022-04428-4

Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory

Valter Moretti, Simone Murro, Daniele Volpe
September 14, 2021
paracausal deformation, convex interpolation, Cauchy problem, Møller operators, normally hyperbolic operators, algebraic quantum field theory, Hadamard states, globally hyper- bolic manifolds
open access link Sel. Math. New Ser. 29, 56 (2023) https://link.springer.com/article/10.1007/s00029-023-00860-z

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

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

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