A framework and explicit construction enables causal regularized measurements of spacetime-localized observables in bosonic QFT, with self-backreaction and induced future correlations.
General boundary quantum field theory: Foundations and probability interpretation
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abstract
We elaborate on the proposed general boundary formulation as an extension of standard quantum mechanics to arbitrary (or no) backgrounds. Temporal transition amplitudes are generalized to amplitudes for arbitrary spacetime regions. State spaces are associated to general (not necessarily spacelike) hypersurfaces. We give a detailed foundational exposition of this approach, including its probability interpretation and a list of core axioms. We explain how standard quantum mechanics arises as a special case. We include a discussion of probability conservation and unitarity, showing how these concepts are generalized in the present framework. We formulate vacuum axioms and incorporate spacetime symmetries into the framework. We show how the Schroedinger-Feynman approach is a suitable starting point for casting quantum field theories into the general boundary form. We discuss the role of operators.
years
2025 2verdicts
UNVERDICTED 2representative citing papers
Reviews basic definitions and properties of QFT vector models for induced quantum gravity and points out directions for future research.
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Causal measurement in quantum field theory: spacetime
A framework and explicit construction enables causal regularized measurements of spacetime-localized observables in bosonic QFT, with self-backreaction and induced future correlations.
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Induced quantum gravity from QFT vector models
Reviews basic definitions and properties of QFT vector models for induced quantum gravity and points out directions for future research.