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.

**Assessment**

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 | ||

Assessment | |||

Submit Your Assignment | 00:00:00 | ||

Certification | 00:00:00 |

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