Quantum Field Theory I

This page contains materials for the graduate-level course Quantum Field Theory I, taught in the Fall semester of 2025.

The course introduces the foundations and essential techniques of quantum field theory, including:

• Canonical quantization
• Path integral formulation
• Scalar and spinor field theories
• Gauge fields
• Renormalization
• Applications in particle physics and cosmology

📚 Course Materials

• 🗂️ Syllabus
• 📄 Lecture Notes (PDF)
• 📄 Assignments (PDF)
• 📄 Assignment Solutions (PDF)
• 💻 [Sample code and simulations](when applicable)

🧮 Topics Covered

• Classical field theory and Lagrangian formalism
• Canonical quantization of scalar fields
• Dirac fields and spinor representations
• Path integrals and generating functionals
• Symmetries and Noether’s theorem
• Interacting fields and perturbation theory
• Renormalization and regularization techniques
• Gauge invariance and the structure of the Standard Model

🎯 Learning Objectives

By the end of the course, students will be able to:

• Understand the mathematical framework and physical concepts of QFT
• Derive and interpret Feynman rules and scattering amplitudes
• Analyze symmetry principles and their consequences in field theory
• Apply renormalization methods to compute loop corrections
• Prepare for advanced study in QED, QCD, and quantum gravity

🔗 External Resources

• Peskin & Schroeder – An Introduction to Quantum Field Theory
  A standard graduate text covering canonical quantization, path integrals, and QED.

• Schwartz – Quantum Field Theory and the Standard Model
  A modern, pedagogical introduction—excellent for building intuition and practical skills.

• Zee – Quantum Field Theory in a Nutshell
  A conceptual and witty take on QFT, emphasizing physical insight over formalism.

• Weinberg – The Quantum Theory of Fields, Vol. 1: Foundations
  A mathematically rigorous and foundational treatment by one of QFT’s pioneers.

• Perimeter Institute QFT Course Videos
  Free lectures by leading physicists; an excellent visual supplement to the course.

Please check back regularly for updates to lecture notes, assignments, and announcements.