Modern Statistical Mechanics
(book in progress)
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)