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

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 doi:10.1007/s11005-018-01151-x

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 doi:10.1142/S0219199720500078

The hypergroupoid of boundary conditions for local quantum observables

Marcel Bischoff, Karl-Henning Rehren
December 09, 2016
algebraic quantum field theory, hypergroups, defect, boundary conditions
open access link Adv. Stud. Pure Math. 80 (2019) 23-42

Towards quantum field theory on spacetimes with boundaries

Gabriele Nosari
December 22, 2015
algebraic quantum field theory, Casimir effect, boundary conditions
open access link

The Casimir effect from the point of view of algebraic quantum field theory

Claudio Dappiaggi, Gabriele Nosari, Nicola Pinamonti
December 03, 2014
algebraic quantum field theory, Casimir effect
open access link

Phase boundaries in algebraic conformal QFT

Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo, Karl-Henning Rehren
May 30, 2014
rational conformal field theories, algebraic quantum field theory, boundary conditions, defects, phase boundaries
open access link Commun. Math. Phys. 342 (2016) 1-45

Dynamical locality of the free Maxwell field

Christopher J. Fewster, Benjamin Lang
March 27, 2014
dynamical locality, Maxwell field, locally covariant quantum field theory, algebraic quantum field theory, quantum fields in curved spacetimes
open access link doi:10.1007/s00023-015-0398-9

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