Renormalized Unruh-DeWitt Particle Detector Models for Boson and Fermion Fields

TL;DR

This paper develops renormalized Unruh-DeWitt detector models capable of probing both bosonic and fermionic quantum fields, introducing a new renormalization method and extended Feynman rules to improve theoretical analysis.

Contribution

It introduces a renormalization technique for UDW detectors coupled to fermionic and bosonic fields and extends Feynman rules for streamlined calculations.

Findings

Renormalization method cures divergencies in detector models.

Extended Feynman rules simplify perturbative calculations.

Enables studies of relativistic quantum effects with fermionic fields.

Abstract

Since quantum field theories do not possess proper position observables, Unruh-DeWitt detector models serve as a key theoretical tool for extracting localized spatio-temporal information from quantum fields. Most studies have been limited, however, to Unruh-DeWitt (UDW) detectors that are coupled linearly to a scalar bosonic field. Here, we investigate UDW detector models that probe fermionic as well as bosonic fields through both linear and quadratic couplings. In particular, we present a renormalization method that cures persistent divergencies of prior models. We then show how perturbative calculations with UDW detectors can be streamlined through the use of extended Feynman rules that include localized detector-field interactions.Our findings pave the way for the extension of previous studies of the Unruh and Hawking effects with UDW detectors, and provide new tools for studies in relativistic quantum information, for example, regarding relativistic quantum communication and studies of the entanglement structure of the fermionic vacuum.