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Course11510111732 lectures

Path Integral and functional methods in quantum field theory

Prof. Urjit A. Yajnik · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1 : Quantum Theory Fundamental Quantisation- I Video
  2. Lecture 2 : Quantum Theory Fundamental Quantisation- II Video
  3. Lecture 3 : Path Integral Formulation- I Video
  4. Lecture 4 : Path Integral Formulation- II Video

Week 2

  1. Lecture 5 : Path Integral Formulation- III Video
  2. Lecture 6 : Path Integral Formulation- IV Video
  3. Lecture 7 : Correlation Functions- I Video
  4. Lecture 8 : Correlation Functions- II Video

Week 3

  1. Lecture 9 : Generating Functional, Forced Harmonic Oscillator- I Video
  2. Lecture 10 : Generating Functional, Forced Harmonic Oscillator- II Video
  3. Lecture 11 :Generating Function in Field Theory- I Video
  4. Lecture 12 : Generating Function in Field Theory- II Video

Week 4

  1. Lecture 13 :Effective Potential- I Video
  2. Lecture 14 : Effective Potential- II Video
  3. Lecture 15 : Effective Potential- III Video
  4. Lecture 16 : Effective Potential- IV Video

Week 5

  1. Lecture 17 : Asymptotic Theory- I Video
  2. Lecture 18 : Asymptotic Theory- II Video
  3. Lecture 19 : Asymptotic Condition Kallen- Lehmann representation- I Video
  4. Lecture 20 : Asymptotic Condition Kallen- Lehmann representation- II Video

Week 6

  1. Lecture 21 : Gauge Invariance- Minimal Coupling Video
  2. Lecture 22 : Gauge Invariance- Geometric Picture Video
  3. Lecture 23 : Gauge Invariance- Abelian Case Video
  4. Lecture 24 : Gauge Invariance- Non-abelian case Video

Week 7

  1. Lecture 25 : Yang Mills Theory- Coupling to Matter Video
  2. Lecture 26 : Yang Mills Theory- Physical Content Video
  3. Lecture 27 : Yang Mills Theory Constraint Dynamics- I Video
  4. Lecture 28 : Yang Mills Theory Constraint Dynamics- II Video

Week 8

  1. Lecture 29 : Gauge Fixing and Faddeev Popov Ghosts- I Video
  2. Lecture 30 : Gauge Fixing and Faddeev Popov Ghosts- II Video
  3. Lecture 31 : Topological Vacuum of Yang Mills Theories- I Video
  4. Lecture 32 : Topological Vacuum of Yang Mills Theories- II Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Physics
Teacher
Prof. Urjit A. Yajnik
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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