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arxiv: hep-th/9903073 · v1 · submitted 1999-03-09 · ✦ hep-th

The Bogoluibov Renormalization Group in Theoretical and Mathematical Physics

D.V. Shirkov This is my paper
classification ✦ hep-th
keywords groupmathematicalpartphysicsrenormalizationtextapplicationbirthday
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This text follows the line of a talk on Ringberg symposium dedicated to Wolfhart Zimmermann 70th birthday. The historical overview (Part 1) partially overlaps with corresponding text of my previous commemorative paper. At the same time second part includes some recent results in QFT and summarize an impressive progress of the "QFT renormalization group" application in mathematical physics.

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  1. Taming the infrared in de Sitter space: autonomous equations, stochastic approach, and Borel resummation

    hep-th 2026-05 unverdicted novelty 5.0

    Autonomous equations applied to perturbative series and their Borel transforms produce finite time-dependent correlation functions that approximate stochastic results for scalar fields in de Sitter space more accurately.