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. 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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