285110 Statistical Mechanics II (V) (SoSe 2024)

This lecture aims to provide a comprehensive understanding of phase transtitions, the renormalization group, and statistical field theory. It will expand on the material taught in Statistical Mechanics I.

Content of the lecture:
- Introduction to phase transitions and critical phenomena.
- Landau theory, Meanfield theory, Ginzburg criterion
- Universallity, scaling hypothesis, renormalization group
- Perturbation theory: Diagrammatic expansions, epsilon-expansions.
- Statistical models, Lattice Models, Monte-Carlo simulations, finite-size scaling.
- Low temperatures and high temperatures expansion, duality
- Dynamic universality classes

Requirements for participation, required level

Statistical Mechanics
Quantum Mechanics

Bibliography

Nishimori, Hidetoshi and Oritz, Gerardo, Elements of Phase Transitions and Critical Phenomena, Oxford University Press, 2010
Kardar, Mehran. Statistical Physics of Fields. Cambridge University Press, 2007.
Stanley, H. Eugene. Introduction to Phase Transitions and Critical Phenomena. Oxford University Press, 1993.
Amit, Daniel J. Field Theory, the Renormalization Group, and Critical Phenomena. Revised 2nd ed. World Scientific Publishing Company, 1984.
Huang, Kerson. Statistical Mechanics. 2nd ed. Wiley, 1987.
Parisi, Giorgio. Statistical Field Theory. Addison-Wesley, 1988.