How Particles can Emerge in a Relativistic Version of Bohmian Quantum Field Theory: Part 2 - Fermions

TL;DR

This paper demonstrates how fermionic particles can emerge as continuous fields within a covariant Bohmian quantum field theory framework, addressing the challenge of localizable particles in relativistic quantum mechanics.

Contribution

It introduces a covariant formulation of Bohmian theory for fermions, showing how particles emerge as eigenvalues of the Schrödinger field operator along trajectories, overcoming Malament's theorem.

Findings

Fermionic particles can be represented as eigenvalues of field operators.

The formulation is covariant and compatible with relativistic principles.

Addresses the issue of particle localization in relativistic quantum mechanics.

Abstract

It is shown how Fermionic material particles can emerge from a covariant formulation of the de Broglie-Bohm theory. Material particles are continuous fields, formed as the eigenvalue of the Schrodinger field operator, evaluated along a Bohmian trajectory. The motivation for this work is due to a theorem proved by Malament that states there cannot be a relativistic quantum mechanics of localizable particles.