Accelerated detectors in Dirac vacuum: the effects of horizon fluctuations

TL;DR

This paper investigates how horizon fluctuations affect an Unruh-DeWitt detector interacting with a massless Dirac field, using a model with random coefficients in the Dirac equation to simulate horizon randomness.

Contribution

It introduces a perturbation theory for fermionic fields in random media and evaluates the impact of horizon fluctuations on detector response functions.

Findings

Horizon fluctuations modify the detector's response.

Randomness introduces corrections to the fermionic field behavior.

The model provides a framework for studying quantum effects near fluctuating horizons.

Abstract

We consider an Unruh-DeWitt detector interacting with a massless Dirac field. Assuming that the detector is moving along an hyperbolic trajectory, we modeled the effects of fluctuations in the event horizon using a Dirac equation with random coefficients. First, we develop the perturbation theory for the fermionic field in a random media. Further we evaluate corrections due to the randomness in the response function associated to different model detectors.