Scardigli Fabio, Blasone Massimo, Luciano Gaetano, Casadio Roberto
1Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy.
2Institute-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, The Netherlands.
Eur Phys J C Part Fields. 2018;78(9):728. doi: 10.1140/epjc/s10052-018-6209-y. Epub 2018 Sep 10.
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.
我们考虑一种广义不确定性原理（GUP），它对应于通过在动量中添加一个二次项而得到的基本对易子的变形。基于此GUP，我们通过首先进行启发式推导，然后进行更标准的场论计算，来计算对昂鲁效应及相关昂鲁温度的修正。在小变形极限下，我们恢复了昂鲁辐射的热特性。比较了两种方法在变形参数一阶时对温度的修正，发现对于参考系加速度的立方幂的依赖性是一致的。还指出并讨论了移动温度对频率的依赖性。
