Path Integral Project

Path Integral Project aims to establish logically complete skeletons of Quantum Field Theory under path integral formalism.

Contents

• Introduction to Path Integral Project
  • What is Path Integral Project?
  • A Brief History
  • Why Path Integral?
  • Theory of What?
• Classical Theory
  • Classical Theory: Scalar Field
  • Solution of Klein-Gordon Equation
  • The Symmetry of Fields
  • Representation of Lorentz Group
  • Scalar, Spinor and Vector (Tensor) Field
  • Dirac Equation
  • Maxwell’s Equations
• Path Integral
  • Quantum Mechanics
  • Path Integral and Propagator
  • Evaluation of Path Integral
  • Path Integral of Fields
• Quantum Theory
  • Sketch of Path Integral Formalism
  • Free Scalar Field Theory
  • Two Significant Identities
  • Scalar Field Theory with Interaction
  • Scattering Matrix
  • Correlation Function
  • First Glance at Infinities
• Math Support
  • Function and Image Element
  • Functional Derivative
• Background Knowledge
  • Einstein Summation Convention
  • Geometric Unit System
  • Basic Differential Geometry
  • Lagrangian Dynamics of Fields
  • Basic Linear Algebra
  • Basics of Lie Group Theory