Modern Statistical Mechanics (book in progress)

Paul Fendley

Rough Outline

Book Chapters

·  Chapter 1 : Classical spin systems, order and disorder, introducing the Ising model and solving the 1d case, the transfer matrix, the Peierls argument

·  Chapter 2 (in progress): The quantum/classical correspondence, the Ising Hamiltonian

·  Chapter 3: Quantum spin systems, su(2) symmetry

·  Chapter 4 (in progress): The 1+1 dimensional Ising model: the low- and high-temperature expansions, duality, solving it using free fermions

·  Chapter 5 (in progress): The XXZ chain and the six-vertex model
·  Chapter 7 (pretty much there, updated 30/1/18): Landau theory and the mean-field approximation

·  Chapter 8 (very much in progress,updated 27/2/18):  RG basics

·  A later chapter:: A Conformal Field Theory Primer (my Princeton summer school lecture notes)