This textbook presents QFT’s core structures in a rigorous, math-first style, connecting physics with analysis, probability, and geometry. It develops perturbative tools, free theories, and both operator and Lagrangian viewpoints, with links to combinatorics and topology.

Key Topics

• Path integrals
• Feynman diagrams
• Matrix integrals
• Wightman axioms
• Renormalization basics

Author: Pavel Etingof