On construction and axiomatization of homotopical AQFT via homotopy theory and homotopical algebra:
Marco Benini, Claudio Dappiaggi, Alexander Schenkel, Quantized Abelian principal connections on Lorentzian manifolds, Communications in Mathematical Physics 2013 (arXiv:1303.2515)
Marco Benini, Alexander Schenkel, Richard Szabo, Homotopy colimits and global observables in Abelian gauge theory (arXiv:1503.08839)
Marco Benini, Alexander Schenkel, Quantum field theories on categories fibered in groupoids, Communications in Mathematical Physics November 2017, Volume 356, Issue 1, pp 19–64 (arXiv:1610.06071)
Simen Bruinsma, Christopher J. Fewster, Alexander Schenkel, Relative Cauchy evolution for linear homotopy AQFTs (arXiv:2108.10592)
On self-dual higher gauge theory on Lorentzian spacetimes via ordinary differential cohomology:
On the stack of Yang-Mills gauge fields:
Review and exposition:
Alexander Schenkel, Towards Homotopical Algebraic Quantum Field Theory, talk at Foundational and Structural Aspects of Gauge Theories, Mainz Institute for Theoretical Physics, 29 May – 2 June 2017. (pdf)
Alexander Schenkel, On the problem of gauge theories in locally covariant QFT, talk at Operator and Geometric Analysis on Quantum Theory Trento, 2014 (pdf) (with further emphasis on this point in the companion talk Schreiber 14)
Alexander Schenkel, From Fredenhagen’s universal algebra to homotopy theory and operads, talk at Quantum Physics meets Mathematics, Hamburg, December 2017 (pdf slides)
Marco Benini, Alexander Schenkel, Higher Structures in Algebraic Quantum Field Theory, Proceedings of LMS/EPSRC Symposium Higher Structures in M-Theory 2018, Fortschritte der Physik 2019 (arXiv:1903.02878, doi:10.1002/prop.201910015)
On supersymmetric quantum field theory via local nets of observables on supermanifolds:
An operad for local nets of observables in AQFT
and its model structure on algebras over an operad (with respect to the model structure on chain complexes) is discussed in
On relating homotopy algebraic quantum field theory via local nets of observables to factorization algebras:
Marco Benini, Marco Perin, Alexander Schenkel, Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds, Communications in Mathematical Physics volume 377, pages 971–997 (2020) (arXiv:1903.03396v2, doi:10.1007/s00220-019-03561-x)
Marco Benini, Giorgio Musante, Alexander Schenkel, Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory [arXiv:2212.02546]
Discussion of orbifolding via categorification, in homotopical algebraic quantum field theory:
On rigorous semi-topological 4d Chern-Simons theory via homotopical AQFT:
On 1d AQFT and smooth stacks:
On non-perturbative aspects of the BV-formalism:
On 2d CFT in terms of AQFT on curved spacetimes:
On the time slice axiom in homotopical AQFT:
Exposition and review:
Formulation of the CS/WZW correspondence in homotopical AQFT:
On the relation between functorial quantum field theory (axiomatizing the Schrödinger picture of quantum field theory) and algebraic quantum field theory (axiomatizing the Heisenberg picture):
On AQFT on curved spacetimes in terms of stacks of categories (2-sheaves) of field theories :
A higher gauge 5d Chern-Simons theory analogous to semi-topological 4d Chern-Simons theory:
Discussion of lattice 2d Yang-Mills theory via derived algebraic geometry and prefactorization algebras:
Last revised on September 12, 2024 at 07:21:27. See the history of this page for a list of all contributions to it.