Integrable Field Theory
Organize classical and quantum field theories around conserved currents, scattering, local operators and quantum consistency.
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
Readings and planned coverage
CHAPTER 01
Classical fields & sigma models
Planned coverage
- Lax connections in sigma models
CHAPTER 02
Conserved currents & quantum consistency
Planned coverage
- Anomalies in higher-spin conservation laws
CHAPTER 03
Factorized scattering & the S-matrix bootstrap
Planned coverage
- Bound-state bootstrap equations
CHAPTER 04
Massive integrable theories
Planned coverage
- Massive spectra in integrable field theories
CHAPTER 05
Conformal integrability & integrable perturbations
Planned coverage
- Quantum KdV charges in conformal field theory
CHAPTER 06
Local operators & the form-factor bootstrap
Planned coverage
- Form-factor axioms
CHAPTER 07
Boundaries, defects & interfaces
Planned coverage
- Boundary reflection factors
CHAPTER 08
Deformations, renormalization & regularization
Planned coverage
- Integrability-preserving deformations