QFT, RG, and all that, for mathematicians, in eleven pages

2013/11/19 by Abdelmalek Abdesselam, Abdesselam, Abdelmalek
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Probability (math.PR) #math-ph #math.AP #math.DS #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1311.4897

11 pages, 1 figure

arxiv created 2013/11/19 · openalex publication_date 2013/11/19 · arxiv updated 2013/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a quick introduction to quantum field theory and Wilson's theory of the renormalization group from the point of view of mathematical analysis. The presentation is geared primarily towards a probability theory, harmonic analysis and dynamical systems theory audience.

Citations

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

Related

• Lectures on Quantum Field Theory
• A new look at Perturbation Theory in QFT and Resolvent Series
• 6 Lectures on QFT, RG and SUSY
• Introduction to Renormalisation
• Lectures on Introduction to Quantum Field Theory