Locality and General Vacua in Quantum Field Theory
Por:
Colosi, Daniele, Oeckl, Robert
Publicada:
1 ene 2021
Resumen:
We extend the framework of general boundary quantum field theory (GBQFT)
to achieve a fully local description of realistic quantum field
theories. This requires the quantization of non-Ka spacing diaeresis
hler polarizations which occur generically on timelike hypersurfaces in
Lorentzian spacetimes as has been shown recently. 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. On the other hand we apply the GNS construction to twisted
star-structures to obtain Hilbert spaces, motivated by the notion of
reflection positivity of the Euclidean approach to quantum field theory.
As one consequence, the wellknown representation of a vacuum state in
terms of a sea of particle pairs in the Hilbert space of another vacuum
admits a vast generalization to non-Ka spacing diaeresis hler vacua,
particularly relevant on timelike hypersurfaces.
Filiaciones:
Univ Nacl Autonoma Mexico, Escuela Nacl Estudios Super, Unidad Morelia, Morelia 58190, Michoacan, Mexico
Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia 58190, Michoacan, Mexico
Green Submitted, gold, All Open Access, Gold
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