Modified Unruh effect from Generalized Uncertainty Principle

TL;DR

This paper investigates how a generalized uncertainty principle modifies the Unruh effect, deriving corrections to the Unruh temperature through heuristic and field-theoretic methods, revealing consistent first-order results and frequency dependence.

Contribution

It introduces a GUP-based correction to the Unruh effect and compares heuristic and field-theoretic derivations, confirming their agreement at first order.

Findings

Corrections to Unruh temperature depend on the deformation parameter.

Heuristic and field-theoretic approaches yield consistent results.

Temperature shift depends on the frequency of the radiation.

Abstract

We consider a generalized uncertainty principle (GUP) corresponding to a deformation of the fundamental commutator obtained by adding a term quadratic in the momentum. From this GUP, we compute corrections to the Unruh effect and related Unruh temperature, by first following a heuristic derivation, and then a more standard field theoretic calculation. In the limit of small deformations, we recover the thermal character of the Unruh radiation. Corrections to the temperature at first order in the deforming parameter are compared for the two approaches, and found to be in agreement as for the dependence on the cubic power of the acceleration of the reference frame. The dependence of the shifted temperature on the frequency is also pointed out and discussed.