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

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arxiv math-ph/9903028 v1 pith:AIBSQ4C7 submitted 1999-03-12 math-ph gr-qchep-thmath.MP

Romeo Brunetti , Klaus Fredenhagen This is my paper
classification math-phgr-qchep-thmath.MP
keywords analysisconstructiondistributionsfieldinteractinglocalmethodmicrolocal
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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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  1. Measurements in stochastic gravity and thermal variance

    gr-qc 2025-06 conditional novelty 6.0 of 10

    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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