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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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Alexander Schenkel's picture

Alexander Schenkel

Università di Trento
http://www.aschenkel.eu

Papers

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

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)

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

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Theses

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes

Alexander Schenkel
PhD Thesis, 2011, Würzburg
Advisor: Thorsten Ohl
noncommutative geometry, noncommutative gravity, QFT on non-commutative spaces, QFT on curved spacetimes
open access link

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