What you’ll learn
- Master Path Integrals: Understand the concept of path integrals in Quantum Field Theory, and learn how they offer a unique perspective on the subject
- Derive Feynman Rules: Gain the ability to derive Feynman rules naturally from the path integral formulation
- Dive into Renormalization: Delve into the essential concept of renormalization, with a particular focus on the renormalization group.
- Comprehend Non-Commutativity: Explore the non-commutative nature of Quantum Field Theory by examining how path integrals incorporate non-differentiable paths
- Derive the Yukawa potential: while discussing renormalization, we will see how some theories give rise to long-range potentials and some others short-range ones
- Discover the partition function: essential tool to the definition of path integrals
- Learn how to use correlation functions, whose interpretation is related to Feynman diagrams and particle interactions
- Learn how to use perturbation theory in QFT
- Learn the orbit-stabilizer theorem, another key concept related to the interpretation of Feynman diagrams
- Discover the effective action: this tool is key to understanding renormalization
- Discover the Callan Symanzik equation, which appears in the theory of the renormalization group
- Learn why “anomalous” dimensions arise in QFT
Welcome to “Advanced Quantum Field Theory: Intuition with Path Integrals.” In this course, we take a unique approach to delve deeper into the fascinating world of Quantum Field Theory (QFT). The foundations of this course are based on the notes of Professor David Skinner, although an original perspective will be given, which emphasizes intuition and the power of path integrals.What You Will Learn:Path Integrals Demystified: Explore Quantum Field Theory from a different angle, using path integrals as our guiding tool. Unlike the traditional “second quantization” approach, we won’t begin with a classical field and then transform it into an operator, but rather, we’ll start directly from the action and Lagrangian, offering a more intuitive understanding.
