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<strong>Non</strong>-<strong>Relativistic</strong> <strong>Quantum</strong> <strong>Field</strong> <strong>Theory</strong><br />
Outline of 15 lectures (M. Stone, The Physics of <strong>Quantum</strong> <strong>Field</strong>s)<br />
1. Introduction:<br />
• Overview of approaches to the many-body problem<br />
• QFT as a many-body theory<br />
2. Electrons in solids I (S. 9.1 – 9.2.3 + notes)<br />
• Fermi gas & Fermi Liquid<br />
3. Electrons in solids II (9.2.4 – 9.3 + notes)<br />
• Fermi gas & Fermi Liquid<br />
• Electron – fonon interaction<br />
4. <strong>Non</strong>-<strong>Relativistic</strong> Bosons I (10.1 – 10.2 + notes)<br />
• Order parameter<br />
• Mean field theory<br />
• Superfluidity<br />
5. <strong>Non</strong>-<strong>Relativistic</strong> Bosons II (10.3 – 10.4)<br />
• The dilute Bose gas<br />
6. Application to cold atomic gases (notes)<br />
7. QFT at finite temperature (11)<br />
• Matsubara sums<br />
• Free Bose & Fermi gases<br />
8. Superconductivity (14.3)<br />
• Order parameter,<br />
• Mean field theory,<br />
• Effective action<br />
9. Systematics of mean-field theory (notes)<br />
• Hubard-Stratonovich transformation<br />
• Hartree and Hartree-Fock<br />
• Anomalous terms<br />
• The concept of quantum phase transition<br />
10. Introduction to RG (16)<br />
(repetition of material from Statistical Physics II)<br />
• Blockspin methods<br />
• Fixed points<br />
• Flows<br />
11. QFT approach to RG I (17.1 - 17.3)<br />
• Gaussion fixed point<br />
12. QFT approach to RG II (17.4 – 17.5)
• <strong>Non</strong>-linear sigma model;<br />
• phi^4-theory<br />
13. QFT approach to RG III (Notes)<br />
• Fermi Liquid theory<br />
• Superconductivity.<br />
14. Lattice field theory I (15.1 – 15.2)<br />
• basic ideas<br />
15. Lattice field theory II (15.3)<br />
• continuum limit