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Local Quantum Physics Crossroads

An international platform for information exchange among scientists working on
mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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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

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

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

The stack of Yang-Mills fields on Lorentzian manifolds

Marco Benini, Alexander Schenkel, Urs Schreiber
April 05, 2017
Yang-Mills theory, globally hyperbolic Lorentzian manifolds, Cauchy problem, stacks, presheaves of groupoids, homotopical algebra, model categories
open access link Commun. Math. Phys. (2018)

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