# Localizable Particles in the Classical Limit of Quantum Field Theory

@article{Feintzeig2021LocalizablePI, title={Localizable Particles in the Classical Limit of Quantum Field Theory}, author={Benjamin H. Feintzeig and Jonah Librande and Rory Soiffer}, journal={Foundations of Physics}, year={2021}, volume={51} }

A number of arguments purport to show that quantum field theory cannot be given an interpretation in terms of localizable particles. We show, in light of such arguments, that the classical ħ→0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbar \rightarrow 0$$\end{document} limit can aid our understanding of the…

## 4 Citations

### From quantum field theory to quantum mechanics

- PhysicsThe European Physical Journal C
- 2021

The purpose of this article is to construct an explicit relation between the field operators in Quantum Field Theory and the relevant operators in Quantum Mechanics for a system of N identical…

### The Classical–Quantum Correspondence

- Physics, Philosophy
- 2022

This Element provides an entry point for philosophical engagement with quantization and the classical limit. It introduces the mathematical tools of C*-algebras as they are used to compare classical…

### Path integral and particle ontology

- Physics, Philosophy
- 2022

It is often said that in relativistic quantum physics, a fundamental particle ontology is not viable. However, previous works have shown that certain relativistic quantum ﬁeld theories can be…

### How Haag-tied is QFT, really?

- Education
- 2022

Haag’s theorem cries out for explanation and critical assessment: it sounds the alarm that something is (perhaps) not right in one of the standard way of constructing interacting ﬁelds to be used in…

## References

SHOWING 1-10 OF 69 REFERENCES

### On Particle Phenomenology Without Particle Ontology: How Much Local Is Almost Local?

- Physics
- 2013

Recently, Clifton and Halvorson have tried to salvage a particle phenomenology in the absence of particle ontology within algebraic relativistic quantum field theory. Their idea is that the detection…

### Field-theoretic Weyl Quantization as a Strict and Continuous Deformation Quantization

- Mathematics
- 2004

Abstract.
For an arbitrary (possibly infinite-dimensional) pre-symplectic test function
space
$$ (E, \sigma) $$
the family of Weyl algebras
$$ \{\mathcal{W}(E,…

### Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory

- MathematicsThe British Journal for the Philosophy of Science
- 2001

Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the…

### Impact of relativity on particle localizability and ground state entanglement

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

Can a relativistic quantum field theory be consistently described as a theory of localizable particles? There are many known issues with such a description, indicating an answer in the negative. In…

### No place for particles in relativistic quantum theories

- Physics, Philosophy
- 2001

Several recent arguments purport to show that there can be no relativistic, quantum-mechanical theory of localizable particles and, thus, that relativity and quantum mechanics can be reconciled only…

### Pilot Wave Theory and Quantum Fields

- Physics
- 2011

Pilot wave theory (PWT), also called de Broglie-Bohm theory or Bohmian Mechanics, is a deterministic nonlocal `hidden variables' quantum theory without fundamental uncertainty. It is in agreement…

### Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy

- Physics
- 2004

List of papers on quantum philosophy by J. S. Bell Preface Acknowledgements Introduction by Alain Aspect 1. On the problem of hidden variables in quantum mechanics 2. On the Einstein-Rosen-Podolsky…

### Pilot-wave approaches to quantum field theory

- Physics, Philosophy
- 2011

The purpose of this paper is to present an overview of recent work on pilot-wave approaches to quantum field theory. In such approaches, systems are not only described by their wave function, as in…

### Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory

- PhysicsPhilosophy of Science
- 2001

Many of the "counterintuitive" features of relativistic quantum field theory have their formal root in the Reeh-Schlieder theorem, which in particular entails that local operations applied to the…