|
General information
Syllabus
Problem sets
Problem set solutions
Quiz solutions
Grades
Forum
Links:
Michael Hinczewski homepage
Feza Gürsey Institute
|
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
- φ4 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).
R. Shankar, "Renormalization group approach to interacting fermions",
Rev. Mod. Phys. 66, 129 (1994).
|