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Course11510605839 lectures

Classical Field Theory

Prof. Suresh Govindarajan · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Module 1: Introduction to Classical Field Theory

  1. Lecture 1: What is Classical Field Theory? Video

Module 2: Symmetries and Group Theory

  1. Lecture 2: Symmetries and Invariances - I Video
  2. Lecture 3: Symmetries and Invariances - II Video
  3. Lecture 4: Group Theory in Physics - I Video
  4. Lecture 5 Group Theory in Physics - II Video
  5. Lecture 6: Finite Groups - I Video
  6. Lecture 7: Finite Groups - II Video

Module 3: Actions for Classical Field Theory

  1. Lecture 8: Basics of CFT - I Video
  2. Lecture 9: Basics of CFT - II Video
  3. Lecture 10: Basics of CFT - III Video

Module 4: Green Functions for the Klein-Gordon Operator

  1. Lecture 11 Green Functions - I Video
  2. Lecture 12 Green Functions - II Video

Module 5: Symmetries and Conserved quantities

  1. Lecture 13 Noether's Theorem - I Video
  2. Lecture 14 Noether's Theorem - II Video

Module 6: Solitons - I (Kink soliton)

  1. Lecture 15 Kink Soliton Video

Module 7: Hidden Symmetry (Spontaneous Symmetry Breaking) & the abelian Higgs mechanism

  1. Lecture 16: Hidden Symmetry Video
  2. Lecture 17: Local Symmetries Video
  3. Lecture 18 The Abelian Higgs model Video

Module 8: Lie algebras, symmetry breaking and Noether's theorem for Maxwell Equations

  1. Lecture 19: Lie Algebras - I Video
  2. Lecture 20 Lie Algebras - II Video

Module 9: Solitons — II

  1. Lecture 21: Magnetic Vortices - I Video
  2. Lecture 22: Magnetic Vortices - II Video

Module 10: Towards Non-abelian gauge theories

  1. Lecture 23: Non-abelian gauge theories - I Video
  2. Lecture 24: Non-abelian gauge theories - II Video

Module 11: Representation theory of Lie Algebras

  1. Lecture 25: Irreps of Lie algebras - I Video
  2. Lecture 26: Irreps of Lie algebras - II Video

Module 12 The Standard Model of Particle Physics

  1. Lecture 27 The Standard Model - I Video
  2. Lecture 28 The Standard Model - II Video

Module 13: The Lorentz and Poincare Lie Algebras

  1. Lecture 29: Irreps of the Lorentz/Poincare algebras Video

Module 14: Solitons — III (Monopoles and Dyons)

  1. Lecture 30: The Dirac mononpole Video
  2. Lecture 31: The 't Hooft-Polaykov monopole Video
  3. Lecture 32: Revisiting Derrick’s Theorem Video
  4. Lecture 33: The Julia-Zee dyon Video

Module 15: Instantons and their physical interpretation

  1. Lecture 34: Instantons - I Video
  2. Lecture 35: Instantons - II Video
  3. Lecture 36: - Instantons - III Video
  4. Lecture 37: Instantons - IV Video

Module 16: An introduction to some advanced topics

  1. Lecture 38: Dualities Video
  2. Lecture 39: Geometrization of Field Theory Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Physics
Teacher
Prof. Suresh Govindarajan
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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