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The [course_title] course is the second part of the trimester sequence course about Quantum theory. The first part deals with the fundamental concepts of quantum theory. In this second part, you will learn Symmetries, Lie Groups and Lie Algebras, Non-Abelian Generalizations: Yang-Mills Theory, The Gauge Principles, Quantization of Non-Abelian Gauge Theories, renormalisations,  eneral renormalisation theory, renormalisation group, and more. The course prepares you for the advanced concepts of Quantum 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 need 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

L1 Symmetries, Lie Groups and Lie Algebras 00:20:00
L2 The Gauge Principle (Quantum Electrodynamics Revisited) 00:15:00
L3 Non-Abelian Generalizations Yang-Mills Theory 00:20:00
L4 Non-Abelian Generalizations Yang-Mills Theory (cont.) 00:20:00
L5 Quantization of Non-Abelian Gauge Theories 00:20:00
L6 Becchi-Rouet-Stora-Tyutin (BRST) Symmetry, Physical States and Unitarity 00:20:00
L7 Field and Mass Renormalizations 00:20:00
L8 An Explicit Example 00:25:00
L9 Removing Ultraviolet Divergences 00:20:00
L10 Unstable Particles and Resonances 00:20:00
L11 S-Matrix Elements and LSZ Reduction 00:20:00
L12 Renormalized Lagrangian 00:25:00
L13 Renormalized Lagrangian (cont.) 00:15:00
L14 Vertex Function 00:15:00
L15 Anomalous Magnetic Moment 00:25:00
L16 Vacuum Polarization 00:30:00
L17 Degrees of Divergences 00:20:00
L18 Cancellation of Divergences 00:20:00
L19 Cancellation of Divergences (cont.) 00:15:00
L20 Wilson’s Approach to Field Theories 00:20:00
L21 Renormalization Group Flow 00:20:00
L22 Renormalization Group Flow (cont.) 00:20:00
L23 Renormalization Group Flow (cont.); Beta-Functions from the Traditional Approach 00:30:00
L24 Beta-Functions from the Traditional Approach (cont.) 00:20:00
L25 Beta-Functions from the Traditional Approach (cont.) 00:15:00
L26 Beta-Functions from the Traditional Approach (cont.) 00:20:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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