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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.
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 need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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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 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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