NOC:Tapestry of Field theory: Classical and Quantum, Equilibrium and Nonequilibrium Perspectives

Lecture 1 - Introduction to Field Theory and Course

Lecture 2 - Integration using Complex Analysis

Lecture 3 - Cauchy Principal Value Theorem

Lecture 4 - Fourier Transform

Lecture 5 - Green's Function and Examples

Lecture 6 - Green's Function in Fourier Space

Lecture 7 - Fourier Transform, Time Frequency

Lecture 8 - Green's Function for Helmholtz Equation and Wave Equation

Lecture 9 - Green's Function for Diffusion and Schrodinger Equation

Lecture 10 - Dimensional Analysis

Lecture 11 - Functionals - Part 1

Lecture 12 - Lagrangian Formalism - Part 2

Lecture 13 - Relativistic Fields

Lecture 14 - Hamiltonian Formalism

Lecture 15 - Principle of Least Action

Lecture 16 - Relativistic Fields and Hamiltonian Formalism

Lecture 17 - Noether's Theorem and Symmetries

Lecture 18 - Review of Quantum Mechanics

Lecture 19 - Second Quantization

Lecture 20 - Field Operators

Lecture 21 - Fock Space and Vaccum Energy

Lecture 22 - Quantization of Bosons and Fermions

Lecture 23 - Examples

Lecture 24 - Free Fermi Gas

Lecture 25 - Propagators and Perturbations

Lecture 26 - Relativistic Quantum Field Theory

Lecture 27 - Feynman Propagator

Lecture 28 - Review of Statistical Mechanics (Partition Function)

Lecture 29 - Feynman Path Integral

Lecture 30 - Diagrammatic Field Theory (Wick's Theorem)

Lecture 31 - Wick's Theorem (Continued...)

Lecture 32 - Diagrammatic Perturbation Theory

Lecture 33 - Green's Function and Correlation Function

Lecture 34 - Feynman Diagrams

Lecture 35 - Phase Transition and Landau Theory

Lecture 36 - Failure of Landau's Theory

Lecture 37 - Scale Invariance

Lecture 38 - Renormalization Group - Preliminary

Lecture 39 - RG Steps

Lecture 40 - Pertubative Calculations

Lecture 41 - RG Fixed Points

Lecture 42 - Relevent and Irrelevant Variables

Lecture 43 - Behaviour Near Critical Points

Lecture 44 - Computing Critical Exponents

Lecture 45 - Mass and Charge Renormalization, Running Coupling const: Φ4 Theory

Lecture 46 - Charge and Mass Renormalization: QED and QCD

Lecture 47 - Breaking a Continuous Symmetry (Goldstone Mode)

Lecture 48 - Covariant Electrodynamics (Gauge Interactions)

Lecture 49 - Higgs Mechanism

Lecture 50 - Introduction to Non-Equilibrium Field Theory (Langevin Equation)

Lecture 51 - Fluctuation Dissipation Theorem

Lecture 52 - Kolgomorov's Theory of Turbulence

Lecture 53 - Equilibrium and Non Equilibrium Solution of Navier Stokes

Lecture 54 - Energy Flux in Navier Stokes Equation

Lecture 55 - RG Analysis of Field Theory of Turbulence

Lecture 56 - Renormalized Viscosity and Discussion

Lecture 57 - Renormalization of the Coupling Constant for the Shell Model

Lecture 58 - Flux Computation for the Shell Model of Turbulence

Lecture 59 - Renormalization Group Analysis of Navier Stokes Equation

Lecture 60 - Flux Computation for the Navier Stokes Equation

Lecture 61 - Functional Form of a Dynamical Equation

Lecture 62 - Surface Growth Phenomena: Introduction

Lecture 63 - Surface Growth Phenomena: EW Equation

Lecture 64 - Surface Growth Phenomena: KPZ Equation

Lecture 65 - Surface Growth Phenomena: KPZ Equation (Continued...)

Lecture 66 - RG Procedure for KPZ Equation

Lecture 67 - Noise Renormalization

Lecture 68 - Fixed Point Solution

Lecture 69 - Weak Turbulence Theory using Examples

Lecture 70 - Weak Turbulence Applications (Rotating Turbulence, Internal and Surface Gravity Waves)

Lecture 71 - Nonlinear Schodinger Equation

Lecture 72 - Field Theory of Passive Scalar Turbulence

Lecture 73 - Course Summary