Eur. Phys. J. C (2018) 78: 728
https://doi.org/10.1140/epjc/s10052-018-6209-y

Regular Article - Theoretical Physics

Modified Unruh effect from generalized uncertainty principle

¹ Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy
² Institute-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, The Netherlands
³ Dipartimento di Fisica, Università di Salerno, 84084, Fisciano, SA, Italy
⁴ I.N.F.N., Gruppo Collegato di Salerno, Salerno, Italy
⁵ Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
⁶ I.N.F.N., Sezione di Bologna, viale Bert Pichat 6/2, 40127, Bologna, Italy

^* e-mail: fabio@phys.ntu.edu.tw

Received: 25 April 2018
Accepted: 1 September 2018
Published online: 10 September 2018

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.