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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).
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Smooth 1-dimensional algebraic quantum field theories
Marco Benini
,
Marco Perin
,
Alexander Schenkel
October 26, 2020
algebraic quantum field theory
,
stacks of categories
,
vertical geometry of fiber bundles
,
smoothly parametrized differential equations
open access link
Categorification of algebraic quantum field theories
Marco Benini
,
Marco Perin
,
Alexander Schenkel
,
Lukas Woike
March 30, 2020
algebraic quantum field theory
,
2-categories
,
2-operads
,
quasi-coherent sheaves
,
locally presentable linear categories
,
categorified orbifold theories
,
local-to-global extensions
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
Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds
Marco Benini
,
Marco Perin
,
Alexander Schenkel
March 08, 2019
algebraic quantum field theory
,
factorization algebras
,
Lorentzian geometry
open access link
doi:10.1007/s00220-019-03561-x
Higher Structures in Algebraic Quantum Field Theory
Marco Benini
,
Alexander Schenkel
March 07, 2019
algebraic quantum field theory
,
gauge field theories
,
higher structures
,
model categories
,
colored operads
,
stacks
open access link
Fortschr. Phys. 67, 1910015 (2019)
article file
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
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