Exactly Solvable Statistical Mechanics
Develop equilibrium lattice models, their solution structures, boundary dependence and critical limits.
This volume will develop the subjects in the chapter map below. Use the outline to locate the methods and examples you want to study; the individual readings are still being developed.
Learning sequences: Open Toda · The XXX spin chain · KdV solitons · Finite-ring TASEP
Chapter map
Readings and planned coverage
CHAPTER 01
Equilibrium lattice models & exact solvability
Planned coverage
- Partition functions and solvable lattice models
CHAPTER 02
Vertex models
Planned coverage
- Six-vertex weights and anisotropy
CHAPTER 03
Face, height & loop models
Planned coverage
- Vertex–face correspondence
CHAPTER 04
Ising, free-fermion & dimer methods
Planned coverage
- Pfaffian methods for dimers
CHAPTER 05
Transfer & corner-transfer matrices
Planned coverage
- Corner-transfer-matrix methods
CHAPTER 06
Dualities, criticality & scaling limits
Planned coverage
- Critical limits of integrable lattice models
CHAPTER 07
Boundary conditions & spatial inhomogeneity
Planned coverage
- Domain-wall boundary conditions