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Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds

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abstract

We present a perturbative construction of interacting quantum field theories on any smooth globally hyperbolic manifold. We develop a purely local version of the Stueckelberg-Bogoliubov-Epstein-Glaser method of renormalization using techniques from microlocal analysis. As byproducts, we describe a perturbative construction of local algebras of observables, present a new definition of Wick polynomials as operator-valued distributions on a natural domain, and we find a general method for the extension of distributions which were defined on the complement of some surfaces.

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gr-qc 1

years

2025 1

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CONDITIONAL 1

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Measurements in stochastic gravity and thermal variance

gr-qc · 2025-06-29 · conditional · novelty 6.0

Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.

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  • Measurements in stochastic gravity and thermal variance gr-qc · 2025-06-29 · conditional · none · ref 67 · internal anchor

    Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.