This is an advanced graduate course in statistical physics covering topics on:
- Collective modes;
- The Ginzburg-Landau model;
- Real space renormalization group (block-spin transformations);
- Scaling of free-energy;
- Critical exponents;
- Relevant and irrelevant operators in RG;
- Universality classes/fixed points;
- Cross-over between fixed points;
- Finite size scaling;
- Perturbative renormalization group;
- Wilson Fisher fixed point/epsilon expansion;
- Dynamics;
- Random systems;
- Quantum criticality;
- Scaling theory of polymers and other networks
Main references:
- Kardar, Statistical Mechanics of Fields (Cambridge University Press, 2007)
- “Scaling and Renormalization in Statistical Physics” by Cardy
- Sachdev, Quantum Phase Transitions (Cambridge University Press, 2011)