A framework and explicit construction enables causal regularized measurements of spacetime-localized observables in bosonic QFT, with self-backreaction and induced future correlations.
Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation
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abstract
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the K\"ahler case, state spaces arise as spaces of holomorphic functions on linear spaces of classical solutions in neighborhoods of hypersurfaces. Amplitudes arise as integrals of such functions over spaces of classical solutions in regions of spacetime. We prove the validity of the TQFT-type axioms of the general boundary formulation under reasonable assumptions. We also develop the notions of vacuum and coherent states in this framework. As a first application we quantize evanescent waves in Klein-Gordon theory.
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2025 2verdicts
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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.