Learn · Tapestry of Field theory: Classical & Quantum, Equilibrium & Nonequilibrium Perspectives

Lecture 10 of 75Week 2

Lecture 10 : Dimensional Analysis

Prof. Mahendra K. Verma · IIT Kanpur

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Tapestry of Field theory: Classical & Quantum, Equilibrium & Nonequilibrium Perspectives, IIT Kanpur (at NPTEL)
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All the lectures

  1. Lecture 1 : Introduction to Field Theory and Course Video
  2. Lecture 2 : Complex Variables+ Integration Video
  3. Lecture 3 : Cauchy Principal value theorem Video
  4. Lecture 4 : Fourier Transform Video
  5. Lecture 5 : Green's function and examples Video
  6. Lecture 6 : Green's function in fourier space: Poisson equation Video
  7. Lecture 7 : Fourier transform, time frequency Video
  8. Lecture 8 : Green's function (Helmholtz and wave equation ) Video
  9. Lecture 9 : Green's function (Diffusion and Schrodinger equation) Video
  10. Lecture 10 : Dimensional Analysis Video
  11. Lecture 11a : Functionals (Lagrangian for particles) Video
  12. Lecture 11b : Lagrangian formalism Video
  13. Lecture 12 : Relativistic fields Video
  14. Lecture 13 : Hamiltonian formalism Video
  15. Lecture 14 : Lagrangian formalism (Least action principle) Video
  16. Lecture 15 : Relativistic fields revisited Video
  17. Lecture 16 : Noether's theorem and Symmetries Video
  18. Lecture 17 :Review of Quantum mechanics Video
  19. Lecture 18 : Second Quantization Video
  20. Lecture 19 :Field Operators Video
  21. Lecture 20 : Fock Space and vaccum Energy Video
  22. Lecture 21 : Quantization of Bosons and Fermions Video
  23. Lecture 22 : Examples Video
  24. Lecture 23 : Free Fermi gas Video
  25. Lecture 24 : Propagators and perturbations Video
  26. Lecture 24 : Relativistic quantum field theory Video
  27. Lecture 26 : Feynman Propagator Video
  28. Lecture 27 : Review of Statistical Mechanics (Partition Function) Video
  29. Lecture 28 : Feynman Path Integral Video
  30. Lecture 29 : Diagrammatic Field Theory (Wick's Theorem) Video
  31. Lecture 30 : Wick's Theorem (Continuation) Video
  32. Lecture 31 : Diagrammatic Perturbation Theory Video
  33. Lecture 32 : Green's Function and Correlation Function Video
  34. Lecture 33 : Feynman Diagrams Video
  35. Lecture 34 : Phase Transition and Landau Theory Video
  36. Lecture 35 :Failure of Landau's Theory Video
  37. Lecture 36 : Scale Invariance Video
  38. Lecture 37 : Renormalization group - preliminary Video
  39. Lecture 38 : RG Steps Video
  40. Lecture 39 : Perturbative Calculations Video
  41. Lecture 40 : RG fixed points Video
  42. Lecture 41 : Relevant and Irrelevant variables Video
  43. Lecture 42 : Behavior Near critical points Video
  44. Lecture 43 : Computing Critical Exponents Video
  45. Lecture 44 : Running coupling const: phi^4 theory Video
  46. Lecture 45 : Charge and mass renormalization: QED & QCD Video
  47. Lecture 46 : Breaking a Continuous Symmetry (Goldstone Mode) Video
  48. Lecture 47 : Covariant Electrodynamics (Gauge Interactions) Video
  49. Lecture 48 : Higgs Mechanism Video
  50. Lecture 49 : Introduction to Non-Equilibrium Field Theory (Langevin Equation) Video
  51. Lecture 50 : Fluctuation Dissipation Theorem Video
  52. Lecture 51 : Kolmogorov's Theory of Turbulence Video
  53. Lecture 52 : Equilibrium and Non equilibrium Solution of Navier Stokes Video
  54. Lecture 53 : Energy Flux in Navier Stokes Equation Video
  55. Lecture 54 : RG shell model Video
  56. Lecture 55 : RG shell model contd Video
  57. Lecture 56 : Renormalization of the coupling constant for the shell model Video
  58. Lecture 57 : Flux Computation for the Shell Model of Turbulence Video
  59. Lecture 58 : Renormalization Group Analysis of Navier Stokes Equation Video
  60. Lecture 59 : Flux Computation for the Navier Stokes Equation Video
  61. Lecture 60 : Functional Form of a Dynamical Equation Video
  62. Lecture 61 : Surface Growth Phenomena : Introduction Video
  63. Lecture 62 :Surface Growth Phenomena : EW equation Video
  64. Lecture 63 : Surface Growth Phenomena : KPZ equation Video
  65. Lecture 64 : Surface Growth Phenomena : KPZ continued Video
  66. Lecture 65 : RG prodecure for KPZ equation Video
  67. Lecture 66 : Noise Renormalization Video
  68. Lecture 67 : Fixed Point Solution Video
  69. Lecture 68 : Weak Turbulence Theory using examples Video
  70. Lecture 69 : Weak Turbulence Applications (Rotating Turbulence, Internal and Surface Gravity Waves) Video
  71. Lecture 70 : Nonlinear Schrodinger Equation Video
  72. Lecture 71 : Field Theory of Passive Scalar Turbulence Video
  73. Lecture 72 : Course Summary Video
  74. Live Session 24-02-2024 Video
  75. Live Session 22-04-2024 Video