Spin Statistics

Quantum Field Theory · Part 2

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Table of Contents

  1. 1.6.1 Statement of the Theorem
  2. 2.6.2 Heuristic Argument
  3. 3.6.3 What Happens If You Violate Spin-Statistics?
  4. 4.6.4 Examples in Nature
  5. 5.6.5 Experimental Tests
  6. 6.6.6 Summary Table
  7. 7.6.7 Deeper Perspective
  8. 8.🎯 Spin-Statistics Theorem
  9. 9.Step 1: Locality (Microcausality)
  10. 10.Step 2: Fields as Observables

Key Equations

$$[\hat{\mathcal{O}}(x), \hat{\mathcal{O}}(y)] = 0 \quad \text{for spacelike } (x-y)$$
$$[\hat{\phi}(x), \hat{\phi}(y)] = 0 \quad \text{for spacelike } (x-y)$$
$$[\hat{\bar{\psi}}(x)\hat{\psi}(x), \hat{\bar{\psi}}(y)\hat{\psi}(y)] = 0 \quad \text{for spacelike } (x-y)$$

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. Free online course in Quantum Field Theory (QFT). 8 parts covering classical field theory, canonical quantization, path integrals, QED, non-Abelian gauge theories, renormalization, the Standard Model,...

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