Why is Quantum Field Theory Local?

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Quantum Field Theory (QFT) is fundamentally local, despite incorporating nonlocal phenomena such as quantum entanglement. This locality is defined by the commutation of spacelike separated measurements and the structure of the Hamiltonian, which can be expressed as an integral of Hamiltonian density. The microcausality condition ensures that measurements at distant locations do not influence each other, thereby preserving causality. The discussion clarifies the distinction between the local nature of QFT and the nonlocal correlations observed in entangled states.

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  • #181
Kolmo said:
Regarding (b), all GPTs allow updating but by "Bayesian" we mean there is a unique way to update in late of data. In GPTs going beyond the Tsirelson bound ##2\sqrt{2}## there is an element of arbitrary choice in how one updates in light of data. This is what leads to a recent phrase: it's the most general GPT where one can still learn.
Could you give some references?
 
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  • #183
atyy said:
Could you give some references?
To be more explicit there is also also a third condition proved to be equivalent in this paper, so the full list is that the theory is obeys the following which are all equivalent:

(a) The most general theory satisfying the Exclusion principle. Namely that if each of the pairs from a set of observables ##A,B,C## are compatible/co-measurable, then the whole set is co-measurable

(b) The most general one that permits Bayesian updating.

(c) The most general one which assigns probabilities to any repeatable ideal measurements.

(a) was originally a conjecture of Ernst Specker. Cabello proved (c) implies (a) and from there proves (a) in the paper I linked. After that he later proved (b) in (PDF free access):
https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.042001.
 
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