Path Integral Qft

Quantum Field Theory · Part 3

203 KB3 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.3.1 From Particles to Fields
  2. 2.3.2 Free Scalar Field
  3. 3.Key Concepts (This Page)

Key Equations

$$\boxed{Z = \int \mathcal{D}\phi \, e^{iS[\phi]}}$$
$$S[\phi] = \int d^4x \, \mathcal{L}(\phi, \partial_\mu\phi)$$
$$S[\phi] = \int d^4x \left[\frac{1}{2}(\partial_\mu\phi)(\partial^\mu\phi) - \frac{1}{2}m^2\phi^2\right]$$
$$S[\phi] = -\frac{1}{2}\int d^4x \, \phi(x)(\Box + m^2)\phi(x)$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Quantum Field Theory course on CoursesHub.World. A comprehensive graduate-level course in quantum field theory. Covers classical field theory, canonical quantization, path integrals, gauge theories, renormalization, the Standard Model, and advanced ...

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