nLab Nicolai map

Contents

Context

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

Super-Geometry

Contents

Idea

The Nicolai map is a (non-local and non-linear) transformation of bosonic quantum fields to free fields whose existence characterizes the original bosonic quantum field theory as arising by integrating out the fermions of a globally supersymmetric field theory.

References

The original discussion:

The infinitesimal version:

Construction in terms of a path-ordered integral:

On its non-perturbative nature:

Review:

On the Nicolai map for the P n \mathbb{C}P^n sigma-model:

For D=4 SYM and D=10 SYM in light cone gauge:

Last revised on June 10, 2024 at 06:15:19. See the history of this page for a list of all contributions to it.