nLab theta vacuum

Contents

Context

Vacua

Algebraic Quantum 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

In Yang-Mills theory on 4d Minkowski spacetime the theta vacuum is a vacuum state which is a superposition of each Yang-Mills instanton-sector weighted by a complex phase proportional to the theta angle times the instanton number.

quantum probability theoryobservables and states

References

Survey is in

Detailed argument for the theta vacuum from chiral symmetry breaking is offered in

Discussion in a context of algebraic non-perturbative quantum field theory:

Last revised on January 3, 2024 at 21:33:11. See the history of this page for a list of all contributions to it.