Papers

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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

Wavefront sets and polarizations on supermanifolds

Claudio Dappiaggi, Heiko Gimperlein, Simone Murro, Alexander Schenkel
December 24, 2015
supergeometry, pseudodifferential operators, polarized wavefront sets, microlocal analysis, propagation of singularities
open access link Journal of Mathematical Physics 58(2), 023504 (2017)

Abelian duality on globally hyperbolic spacetimes

Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo
November 01, 2015
differential cohomology, Abelian gauge theory, Abelian duality, Dirac charge quantization, self-dual Abelian gauge fields
open access link doi:10.1007/s00220-016-2669-9

Homotopy colimits and global observables in Abelian gauge theory

Marco Benini, Alexander Schenkel, Richard J. Szabo
April 01, 2015
Abelian gauge theory, global configurations and observables, chain complexes, homotopy limits and colimits
open access link Lett. Math. Phys. 105, 1193-1222 (2015)

Supergeometry in locally covariant quantum field theory

Thomas-Paul Hack, Florian Hanisch, Alexander Schenkel
January 07, 2015
supergeometry, locally covariant quantum field theory, enriched category theory
open access link doi:10.1007/s00220-015-2516-4

Differential cohomology and locally covariant quantum field theory

Christian Becker, Alexander Schenkel, Richard J. Szabo
June 05, 2014
Abelian gauge theory, locally covariant quantum field theory, differential cohomology
open access link Rev. Math. Phys. 29, 1750003 (2017)

Locally covariant quantum field theory with external sources

Christopher J. Fewster, Alexander Schenkel
February 11, 2014
locally covariant quantum field theory, relative Cauchy evolution, dynamical locality, quantum field theory on curved spacetimes, affine quantum field theory
open access link Annales Henri Poincare 16, 2303-2365 (2015)

Dirac Operators on Noncommutative Curved Spacetimes

Alexander Schenkel, Christoph F. Uhlemann
August 08, 2013
QFT on non-commutative spaces, QFT on curved spacetimes, Dirac fields
open access link SIGMA 9 (2013), 080, 19 pages

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