A new look at Perturbation Theory in QFT and Resolvent Series

2025/06/13 by Raphaël Ducatez, Ducatez, Raphael
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #15A #81 #FOS: Physical sciences #Geophysics and Gravity Measurements #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2506.11572

openalex publication_date 2025/06/13 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

We give a short introduction for elementary mathematical tools used in the context of Quantum Field Theory. These notes were motivated by a reading group in Lyon on Talagrand's book «What is Quantum Field Theory, A First Introduction for Mathematicians».

Citations

• Lectures on the local semicircle law for Wigner matrices

Related

• Perturbation Theory and Techniques
• Survey of mathematical foundations of QFT and perturbative string theory
• QFT, RG, and all that, for mathematicians, in eleven pages
• Lectures on Quantum Field Theory
• What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact\n saddles