Entanglement in Relativistic Quantum Field Theory

TL;DR

This paper explores the nature of quantum entanglement within relativistic quantum field theory, focusing on the vacuum state and how entanglement relates to spacetime and symmetry constraints.

Contribution

It introduces a framework for understanding entanglement between modes and spacetime points, emphasizing symmetry constraints in relativistic settings.

Findings

Entanglement can be defined between single particle states and modes.

Symmetries impose constraints on entanglement properties.

Spacetime and internal degrees of freedom influence entanglement structure.

Abstract

I present some general ideas about quantum entanglement in relativistic quantum field theory, especially entanglement in the physical vacuum. Here, entanglement is defined between different single particle states (or modes), parameterized either by energy-momentum together with internal degrees of freedom, or by spacetime coordinate together with the component index in the case of a vector or spinor field. In this approach, the notion of entanglement between different spacetime points can be established. Some entanglement properties are obtained as constraints from symmetries, e.g., under Lorentz transformation, space inversion, time reverse and charge conjugation.