nLab reflection positivity

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 quantum field theory reflection positivity is the incarnation of unitarity under Wick rotation.

References

Discussion with tools from extended TQFT and stable homotopy theory (aimed at invertible TQFTs):

In relation to the conformal bootstrap:

  • Leandro Lanosa, Mauricio Leston, Mario Passaglia, Interplay between reflection positivity and crossing symmetry in the bootstrap approach to CFT (arXiv:2112.00232)

See also:

  • Gohin Shaikh Samad, W.N.Polyzou: Reflection positivity in Euclidean formulations of relativistic quantum mechanics of particles [arXiv:2506.20526]

Last revised on June 26, 2025 at 11:07:12. See the history of this page for a list of all contributions to it.