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Dynamics of Quantum Fields
Zohar Komargodski
- Simons Center for Geometry and Physics, Stony Brook
Syllabus
1. Landau-Ginzburg Models in 2+1 dimensions.
2. Gauge Theories in 2+1 dimensions.
3. Particles, Vortices, and Monopoles.
4. Particle-Vortex Duality.
5. Phase Transitions Beyond the Landau Paradigm and Quantum Anti-Ferromagnets.
6. Chern-Simons Theory.
7. The Parity Anomaly. Fermion Dualities.
8. Yang-Mills-Chern-Simons Theories.
9. Yang-Mills-Chern-Simons Theories with Matter.
10. Non-Abelian Duality and Quantum Chromodynamics in 2+1 Dimensions.
References:
These are just some general useful reviews:
D. Tong: Lectures on the Quantum Hall Effect
D. Tong: Lectures on Gauge Theory (ch.8)
arXiv:1810.05174: Duality between (2+1)d Quantum Critical Points
arXiv:1905.12656: Lectures on Dualities in 2+1 Dimensions