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Geometry and Quantum Field Theory, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories, and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand and papers in QFT and String Theory.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Chapter 1: Generalities on Quantum Field Theory 00:05:00
Chapter 2: The Steepest Descent and Stationary Phase Formulas 00:10:00
Chapter 3: Feynman Calculus 00:15:00
Chapter 4: Matrix Integrals 00:25:00
Chapter 5: The Euler Characteristic of the Moduli Space of Curves 00:30:00
Chapter 6: Matrix Integrals and Counting Planar Diagrams 00:05:00
Chapter 7: Quantum Mechanics 00:10:00
Chapter 8: Operator Approach to Quantum Mechanics 00:10:00
Chapter 9: Fermionic Integrals 00:10:00
Chapter 10: Quantum Mechanics for Fermions 00:10:00
Chapter 11: Free Field Theories in Higher Dimensions 00:05:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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