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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

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)

Non-existence of natural states for Abelian Chern-Simons theory

Claudio Dappiaggi, Simone Murro, Alexander Schenkel
December 13, 2016
locally covariant quantum field theory, Chern-Simons theory, natural states
open access link doi:10.1016/j.geomphys.2017.01.015

Quantum field theories on categories fibered in groupoids

Marco Benini, Alexander Schenkel
October 19, 2016
locally covariant quantum field theory, fibered categories, Kan extension, homotopical algebra, homotopical quantum field theory
open access link doi:10.1007/s00220-017-2986-7

Global anomalies on physical space-times

Alexander Schenkel, Jochen Zahn
September 21, 2016
Global anomalies, locally covariant QFT
open access link doi:10.1007/s00023-017-0590-1

Poisson algebras for non-linear field theories in the Cahiers topos

Marco Benini, Alexander Schenkel
February 01, 2016
non-linear classical field theory, synthetic differential geometry, Cahiers topos, Poisson algebras
open access link doi:10.1007/s00023-016-0533-2

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Slides

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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