nLab anomaly cancellation

Contents

Context

Algebraic Qunantum Field Theory

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

Contents

Idea

Given an action functional with a quantum anomaly, an anomaly cancellation is a modification of this such that the anomaly disappears. Usually this is specifically understood to be the modification given by adding another action functional which is also anomalous, such that the total anomaly vanishes, hence that both contributions cancel each other.

For more see at quantum anomaly.

References

General

With an eye towards application in mathematical physics:

Discussions of spin structures as anomaly cancellation for the spinning particle (see also the references hereuantum mechanics#ReferencesRelationToMorseTheory) at supersymmetric quantum mechanics):

In the standard model of particle physics

Discussion of anomaly cancellation in the standard model of particle physics:

In string theory

Review in string theory:

Last revised on June 21, 2023 at 11:12:22. See the history of this page for a list of all contributions to it.