nLab
local antibracket

Contents

Context

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 BV-BRST formalism, the local antibracket of a Lagrangian field theory is the incarnation antibracket of horizontal differential forms on the jet bundle of the field bundle. Under transgression of variational differential forms this yields the ordinary (“global”) antibracket on polynomial observables.

For details see A first idea of quantum field theory the chapter Reduced phase space

References

Last revised on January 9, 2018 at 12:11:31. See the history of this page for a list of all contributions to it.