The Bogoluibov Renormalization Group in Theoretical and Mathematical Physics
D.V. Shirkov
TL;DR
This paper reviews the historical development and recent advances in the application of the Bogoliubov Renormalization Group within quantum field theory and mathematical physics, highlighting progress and key results.
Contribution
It provides a comprehensive overview of the Bogoliubov Renormalization Group's evolution and recent developments in its application to quantum field theory and mathematical physics.
Findings
Progress in QFT renormalization group applications
Recent results in mathematical physics
Historical overview of the Bogoliubov RG
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Thermodynamics and Statistical Mechanics · Advanced Topics in Algebra