Cosmological constant in the presence of two new types of the higher order GUP

In this paper, using two new types of D-dimensional nonperturbative Generalized Uncertainty Principle (GUP) which are predicted both a minimal length uncertainty and a maximal observable momentum, we study the cosmological constants and then compare their massless counterparts with the ones were predicted by Kempf and Pedram in Refs. [Phys. Rev. D 52, 1108 (1995)] and [Phys. Lett. B 718, 638 (2012)].

Quantum gravity, Generalized uncertainty principle, Minimal length uncertainty, Maximal mo- mentum, Cosmological constant