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):
Urs Schreiber, AQFT from n-Functorial QFT, Comm. Math. Phys. 291 2 (2009) 357-401 [arXiv:0806.1079, doi:10.1007/s00220-009-0840-2]
Theo Johnson-Freyd, Heisenberg-picture quantum field theory, in Representation Theory, Mathematical Physics, and Integrable Systems, Progress in Mathematics 340 (2021) [arXiv:1508.05908, doi:10.1007/978-3-030-78148-4_13]
Severin Bunk, James MacManus, Alexander Schenkel, Lorentzian bordisms in algebraic quantum field theory [arXiv:2308.01026]
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