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Random operators , volume 168

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A new look at Perturbation Theory in QFT and Resolvent Series

math-ph · 2025-06-13 · unverdicted · novelty 2.0

This paper translates Talagrand's QFT perturbation theory into finite-dimensional matrix language, showing that Dyson series, scattering amplitudes, diagram sums, and eigenvector corrections all follow from one resolvent expansion.

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  • A new look at Perturbation Theory in QFT and Resolvent Series math-ph · 2025-06-13 · unverdicted · none · ref 1

    This paper translates Talagrand's QFT perturbation theory into finite-dimensional matrix language, showing that Dyson series, scattering amplitudes, diagram sums, and eigenvector corrections all follow from one resolvent expansion.