Introduction to Bethe Ansatz

by F. Franchini (2 credits, type C)

(image credits: from “Beautiful Models” by Bill Sutherland – World Scientific)

Main Topics

• The 1-dimensional quantum XY model
• The Lieb Liniger model: zero temperature excitations and
  Thermodynamic Bethe Ansatz

• The Heisenberg and XXZ spin chains: phase characterization and the
  string hypothesys

• Effective field theories: Bosonization and CFT from Bethe Ansatz
• Transfer matrix solution of the 2D classical 6-vertex model
• The Algebraic Bethe Ansatz solution: Slavnov’s and Gaudin’s formulae