A minimal length versus the Unruh effect

TL;DR

This paper investigates how a fundamental minimal length affects the Unruh effect, finding that it suppresses the expected thermal radiation and results in negligible flux, challenging previous assumptions about the effect.

Contribution

It introduces a modified Green's function to incorporate a minimal length and analyzes its impact on the Unruh effect, revealing a suppression of thermal radiation.

Findings

Net flux of field quanta is negligible with minimal length.

No Planckian spectrum observed under the modified conditions.

Results have implications for experimental detection in heavy ion collisions and atomic systems.

Abstract

In this Letter we study the radiation measured by an accelerated detector, coupled to a scalar field, in the presence of a fundamental minimal length. The latter is implemented by means of a modified momentum space Green's function. After calibrating the detector, we find that the net flux of field quanta is negligible, and that there is no Planckian spectrum. We discuss possible interpretations of this result, and we comment on experimental implications in heavy ion collisions and atomic systems.