nLab Local Quantum Physics -- Fields, Particles, Algebras

Contents

Context

AQFT

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

This entry is about the textbook:

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:

Contents

Chapter I Background

Chapter II General quantum field theory

Chapter III Algebras of local observables and fields

Chapter IV Charges, global gauge groups and exchange symmetry

Chapter V Thermal states and modular automorphisms

Chapter VI Particles. Completeness of the particle picture

Chapter VII Principles and lessons of quantum field theory

Chapter VIII Retrospective and outlook

Last revised on July 8, 2023 at 19:24:31. See the history of this page for a list of all contributions to it.