## Renormalization Group Methods in Statistical Field Theory## Fall 2006 lectures at the Feza Gürsey Institute by Michael Hinczewski |

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Syllabus
- historical motivation: phase transitions, critical exponents, universality
- order parameters and effective field theories, Landau-Ginzburg Hamiltonian, mean-field approximation, fluctuations and the breakdown of mean-field theory
- scaling hypothesis and critical exponent relations
- Kadanoff scaling theory, position-space renormalization group techniques, Migdal-Kadanoff procedure
- φ
^{4}scalar field theory, Wilson momentum-space renormalization, epsilon expansion - fermionic field theory: Grassmann numbers, fermion coherent states and path integrals
- renormalization group for one-dimensional interacting fermions, the Luttinger liquid
- interacting fermions in higher dimensions, Landau Fermi-liquid theory and the superconducting instability from a renormalization group approach
Course references
P.M. Chaikin and T.C. Lubensky, "Principles of condensed matter physics",
Cambridge University Press (1995). |