algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
In local field theory with fields on a given spacetime , the spacetime support of an observable is the maximal region in spacetime such that depends on (“observes”) the values of fields at the points in this region.
In a local field theory spacetime support of observables is typically required to be a compact subset of spacetime, which, under the Heine-Borel theorem, reflects the intuition that every experiment (every “observation” of physics) is necessarily bounded in spacetime.
For more see at geometry of physics – perturbative quantum field theory the chapter 7. Observables
Let be a field bundle over a spacetime (def. ), with induced jet bundle
For every subset let
be the corresponding restriction of the jet bundle of .
The spacetime support of a differential form on the jet bundle of is the topological closure of the maximal subset such that the restriction of to the jet bundle restrited to this subset does not vanishes:
We write
for the subspace of differential forms on the jet bundle whose spacetime support is a compact subspace.
Created on November 9, 2018 at 07:51:37. See the history of this page for a list of all contributions to it.