Outputs (54)

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory (2024)
Journal Article
Benini, M., Musante, G., & Schenkel, A. (2024). Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory. Letters in Mathematical Physics, 114(1), Article 36. https://doi.org/10.1007/s11005-024-01784-1

We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued in cochain complexes, of a natural collection of free BV theories on the category of m-dimensional gl... Read More about Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory.

Green Hyperbolic Complexes on Lorentzian Manifolds (2023)
Journal Article
Benini, M., Musante, G., & Schenkel, A. (2023). Green Hyperbolic Complexes on Lorentzian Manifolds. Communications in Mathematical Physics, 403, 699-744. https://doi.org/10.1007/s00220-023-04807-5

We develop a homological generalization of Green hyperbolic operators, called Green hyperbolic complexes, which cover many examples of derived critical loci for gauge-theoretic quadratic action functionals in Lorentzian signature. We define Green hyp... Read More about Green Hyperbolic Complexes on Lorentzian Manifolds.

The Linear CS/WZW Bulk/Boundary System in AQFT (2023)
Journal Article
Benini, M., Grant-Stuart, A., & Schenkel, A. (2024). The Linear CS/WZW Bulk/Boundary System in AQFT. Annales Henri Poincaré, 25, 2251-2294. https://doi.org/10.1007/s00023-023-01346-6

This paper constructs in the framework of algebraic quantum field theory (AQFT) the linear Chern–Simons/Wess–Zumino–Witten system on a class of 3-manifolds M whose boundary ∂M is endowed with a Lorentzian metric. It is proven that this AQFT is equiva... Read More about The Linear CS/WZW Bulk/Boundary System in AQFT.

Strictification theorems for the homotopy time-slice axiom (2023)
Journal Article
Benini, M., Carmona, V., & Schenkel, A. (2023). Strictification theorems for the homotopy time-slice axiom. Letters in Mathematical Physics, 113(1), Article 20. https://doi.org/10.1007/s11005-023-01647-1

It is proven that the homotopy time-slice axiom for many types of algebraic quantum field theories (AQFTs) taking values in chain complexes can be strictified. This includes the cases of Haag–Kastler-type AQFTs on a fixed globally hyperbolic Lorentzi... Read More about Strictification theorems for the homotopy time-slice axiom.

BV quantization of dynamical fuzzy spectral triples (2022)
Journal Article
Gaunt, J., Nguyen, H., & Schenkel, A. (2022). BV quantization of dynamical fuzzy spectral triples. Journal of Physics A: Mathematical and Theoretical, 55(47), Article 474004. https://doi.org/10.1088/1751-8121/aca44f

This paper provides a systematic study of gauge symmetries in the dynamical fuzzy spectral triple models for quantum gravity that have been proposed by Barrett and collaborators. We develop both the classical and the perturbative quantum BV formalism... Read More about BV quantization of dynamical fuzzy spectral triples.

A Skeletal Model for 2d Conformal AQFTs (2022)
Journal Article
Benini, M., Giorgetti, L., & Schenkel, A. (2022). A Skeletal Model for 2d Conformal AQFTs. Communications in Mathematical Physics, 395(1), 269-298. https://doi.org/10.1007/s00220-022-04428-4

A simple model for the localization of the category CLoc2 of oriented and time-oriented globally hyperbolic conformal Lorentzian 2-manifolds at all Cauchy morphisms is constructed. This provides an equivalent description of 2-dimensional conformal al... Read More about A Skeletal Model for 2d Conformal AQFTs.

Relative Cauchy Evolution for Linear Homotopy AQFTs (2022)
Journal Article
Bruinsma, S., Fewster, C. J., & Schenkel, A. (2022). Relative Cauchy Evolution for Linear Homotopy AQFTs. Communications in Mathematical Physics, 392(2), 621-657. https://doi.org/10.1007/s00220-022-04352-7

This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construc... Read More about Relative Cauchy Evolution for Linear Homotopy AQFTs.

Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories (2022)
Journal Article
Benini, M., Schenkel, A., & Vicedo, B. (2022). Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories. Communications in Mathematical Physics, 389, 1417-1443. https://doi.org/10.1007/s00220-021-04304-7

This paper provides a detailed study of 4-dimensional Chern-Simons theory on R2× CP1 for an arbitrary meromorphic 1-form ω on CP1. Using techniques from homotopy theory, the behaviour under finite gauge transformations of a suitably regularised versi... Read More about Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories.

Smooth 1-Dimensional Algebraic Quantum Field Theories (2021)
Journal Article
Benini, M., Perin, M., & Schenkel, A. (2022). Smooth 1-Dimensional Algebraic Quantum Field Theories. Annales Henri Poincaré, 23, 2069-2111. https://doi.org/10.1007/s00023-021-01132-2

This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to theories that are smooth in the sense that they assign to every smooth family of spacetimes a smooth family of observable algebras. Using stacks of c... Read More about Smooth 1-Dimensional Algebraic Quantum Field Theories.

Batalin–Vilkovisky quantization of fuzzy field theories (2021)
Journal Article
Nguyen, H., Schenkel, A., & Szabo, R. J. (2021). Batalin–Vilkovisky quantization of fuzzy field theories. Letters in Mathematical Physics, 111(6), Article 149. https://doi.org/10.1007/s11005-021-01490-2

We apply the modern Batalin–Vilkovisky quantization techniques of Costello and Gwilliam to noncommutative field theories in the finite-dimensional case of fuzzy spaces. We further develop a generalization of this framework to theories that are equiva... Read More about Batalin–Vilkovisky quantization of fuzzy field theories.