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Categorification of algebraic quantum field theories (2021)
Journal Article
Benini, M., Perin, M., Schenkel, A., & Woike, L. (2021). Categorification of algebraic quantum field theories. Letters in Mathematical Physics, 111(2), Article 35. https://doi.org/10.1007/s11005-021-01371-8

This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category... Read More about Categorification of algebraic quantum field theories.

Locally Covariant Quantum Field Theory with External Sources (2014)
Journal Article
Fewster, C. J., & Schenkel, A. (2015). Locally Covariant Quantum Field Theory with External Sources. Annales Henri Poincaré, 16(10), 2303-2365. https://doi.org/10.1007/s00023-014-0372-y

© 2014, Springer Basel. We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein–Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an aff... Read More about Locally Covariant Quantum Field Theory with External Sources.

A C ? -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., Hack, T. P., & Schenkel, A. (2014). A C ? -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds. Communications in Mathematical Physics, 332(1), 477-504. https://doi.org/10.1007/s00220-014-2100-3

© Springer-Verlag Berlin Heidelberg 2014. The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assig... Read More about A C ? -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds.