nLab Local Quantum Physics -- Fields, Particles, Algebras

This entry is about the textbook:

• Rudolf Haag:

  
  

  Local quantum physics – Fields, particles, algebras

  
  

  Springer (1992, 1996)

  ISBN 978-3-642-61458-3

  ZMATH entry

on algebraic quantum field theory via local nets of observables satisfying the Haag-Kastler axioms.

While axiomatic, the book does contain a fair bit of discussion of the relation to actual physics.

Here is a hyperlinked keyword list:

Chapter I Background

Chapter II General quantum field theory

• quantum field theory

Chapter III Algebras of local observables and fields

• observable

• Haag-Kastler axioms

• local net of observables

Chapter IV Charges, global gauge groups and exchange symmetry

• global gauge group

• superselection sector

Chapter V Thermal states and modular automorphisms

• modular theory

Chapter VI Particles. Completeness of the particle picture

• particle

Chapter VII Principles and lessons of quantum field theory

Chapter VIII Retrospective and outlook