A new look at Perturbation Theory in QFT and Resolvent Series
Raphael Ducatez
TL;DR
This paper introduces elementary mathematical tools relevant to Quantum Field Theory, motivated by a reading group discussion on Talagrand's book, aiming to clarify perturbation theory and resolvent series for mathematicians.
Contribution
It provides a concise introduction to mathematical techniques in QFT, focusing on perturbation theory and resolvent series, tailored for mathematicians.
Findings
Clarifies perturbation theory in QFT
Explains resolvent series concepts
Provides accessible mathematical tools for QFT
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 {\guillemotleft}What is Quantum Field Theory, A First Introduction for Mathematicians{\guillemotright}.
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Taxonomy
TopicsNumerical methods for differential equations · Nonlinear Waves and Solitons · Geophysics and Gravity Measurements