Papers

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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

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

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 doi:10.1007/s11005-019-01195-7

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 doi:10.1142/S0219199720500078

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

The semi-classical energy of open Nambu-Goto strings

Jochen Zahn
May 25, 2016
locally covariant quantum field theory, string theory
open access link Phys. Rev. D 97, 066028 (2018)

The current density in quantum electrodynamics in time-dependent external potentials and the Schwinger effect

Jochen Zahn
January 26, 2015
locally covariant quantum field theory, external potentials
open access link J. Phys. A 48, No. 47 (2015) 475402

The current density in quantum electrodynamics in external potentials

Jan Schlemmer, Jochen Zahn
January 23, 2015
locally covariant quantum field theory, external potentials
open access link Annals of Physics 359 (2015), pp. 31-45

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

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