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- W3127788996 abstract "In this paper we start a systematic study of quantum field theory on random trees. Using precise probability estimates on their Galton–Watson branches and a multiscale analysis, we establish the general power counting of averaged Feynman amplitudes and check that they behave indeed as living on an effective space of dimension 4/3, the spectral dimension of random trees. In the “just renormalizable” case we prove convergence of the averaged amplitude of any completely convergent graph, and establish the basic localization and subtraction estimates required for perturbative renormalization. Possible consequences for an SYK-like model on random trees are briefly discussed." @default.
- W3127788996 created "2021-02-15" @default.
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- W3127788996 date "2021-02-01" @default.
- W3127788996 modified "2023-10-09" @default.
- W3127788996 title "Perturbative Quantum Field Theory on Random Trees" @default.
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- W3127788996 doi "https://doi.org/10.1007/s00220-020-03874-2" @default.
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