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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.

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

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