Papers

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Algebraic field theory operads and linear quantization

Simen Bruinsma, Alexander Schenkel
September 14, 2018
algebraic quantum field theory, locally covariant quantum field theory, colored operads, universal constructions, Gauge theory, model categories
open access link

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

Involutive categories, colored $\ast$-operads and quantum field theory

Marco Benini, Alexander Schenkel, Lukas Woike
February 26, 2018
involutive categories, involutive monoidal categories, *-monoids, colored operads, *-algebras, algebraic quantum field theory
open access link

Algebraic quantum field theory on spacetimes with timelike boundary

Marco Benini, Claudio Dappiaggi, Alexander Schenkel
December 18, 2017
algebraic quantum field theory, timelike boundaries
open access link doi:10.1007/s00023-018-0687-1

Operads for algebraic quantum field theory

Marco Benini, Alexander Schenkel, Lukas Woike
September 25, 2017
algebraic quantum field theory, locally covariant quantum field theory, colored operads, change of color adjunctions, Fredenhagen’s universal algebra
open access link

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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