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We achieve this in two ways: On the one hand we replace Hilbert space states by observables localized on hypersurfaces, in the spirit of algebraic quantum field theory. This requires the quantization of non-Kähler polarizations which occur generically on timelike hypersurfaces in Lorentzian spacetimes as has been shown recently. We extend the framework of general boundary quantum field theory (GBQFT) to achieve a fully local description of realistic quantum field theories. Received September 28, 2020, in final form JPublished online July 25, 2021 Locality and General Vacua in Quantum Field TheoryĪ) Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México, C.P. 58190, Morelia, Michoacán, Mexicoī) Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México, C.P. 58190, Morelia, Michoacán, Mexico W.Locality and General Vacua in Quantum Field Theory Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) By N.
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