Course 6: Lectures on Nonperturbative Field Theory and Quantum Impurity Problems
Abstract
Contents 1 Some notions of conformal field theory 1.1 The free boson via path integrals 1.2 Normal ordering and OPE 1.3 The stress energy tensor 1.4 Conformal in(co)variance 1.5 Some remarks on ward identities in QFT 1.6 The Virasoro algebra: Intuitive introduction 1.7 Cylinders 1.8 The free boson via Hamiltonians 1.9 Modular invariance 2 Conformal invariance analysis of quantum impurity fixed points 2.1 Boundary conformal field theory 2.2 Partition funcitons and boundary states 2.3 Boundary entropy 3 The boundary sineGordon model: General results 3.1 The model and the flow 3.2 Perturbation near the UV fixed point 3.3 Perturbation near the IR fixed point 3.4 An alternative to the instanton expansion: The conformal invariance analysis 4 Search for integrability: Classical analysis 5 Quantum integrability 5.1 Conformal perturbation theory 5.2 Smatrices 5.3 Back to the boundary sineGordon model 6 The thermodynamic Betheansatz: The gas of particles with "YangBaxter statistics" 6.1 Zamolodchikov Fateev algebra 6.2 The TBA 6.3 A standard computation: The central charge 6.4 Thermodynamics of the flow between N and D fixed points 7 Using the TBA to compute static transport properties 7.1 Tunneling in the FQHE 7.2 Conductance without impurity 7.3 Conductance with impurity
 Publication:

Topological Aspects of Low Dimensional Systems
 Pub Date:
 1999
 arXiv:
 arXiv:condmat/9812110
 Bibcode:
 1999tald.conf..473S
 Keywords:

 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 56 pages, 17 figures