Perturbative algebraic quantum field theory
Klaus Fredenhagen, Katarzyna Rejzner
TL;DR
This paper introduces the modern approach to perturbative algebraic quantum field theory, aiming to bridge mathematical and physical perspectives through educational courses.
Contribution
It provides an accessible introduction to perturbative algebraic quantum field theory for both mathematicians and physicists, highlighting recent developments.
Findings
Clarifies the algebraic structure of perturbative QFT
Connects mathematical rigor with physical intuition
Provides foundational knowledge for further research
Abstract
These notes are based on the course given by Klaus Fredenhagen at the Les Houches Winter School in Mathematical Physics (January 29 - February 3, 2012) and the course "QFT for mathematicians" given by Katarzyna Rejzner in Hamburg for the Research Training Group 1670 (February 6 -11, 2012). Both courses were meant as an introduction to modern approach to perturbative quantum field theory and are aimed both at mathematicians and physicists.
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