Quantum cosmology with dynamical vacuum in a minimal-length scenario

M. F. Gusson; A. Oakes O. Gonçalves; R. G. Furtado; J. C. Fabris; J. A. Nogueira

doi:10.1140/epjc/s10052-021-09114-8

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 336
https://doi.org/10.1140/epjc/s10052-021-09114-8

Regular Article – Theoretical Physics

Quantum cosmology with dynamical vacuum in a minimal-length scenario

M. F. Gusson¹, A. Oakes O. Gonçalves¹^,3, R. G. Furtado², J. C. Fabris¹^,4 and J. A. Nogueira¹^e

¹ Universidade Federal do Espírito Santo-Ufes, 29.075-910, Vitória, Espírito Santo, Brazil
² Universidade Federal do Espírito Santo-Ufes, 29.932-540, São Mateus, Espírito Santo, Brazil
³ Instituto Federal Baiano, Campus Itapetinga, Itapetinga, BA, Brazil
⁴ National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409, Moscow, Russia

^e jose.nogueira@ufes.br

Received: 23 December 2020
Accepted: 2 April 2021
Published online: 20 April 2021

Abstract

In this work, we consider effects of the dynamical vacuum in quantum cosmology in presence of a minimum length introduced by the GUP (generalized uncertainty principle) related to the modified commutation relation . We determine the wave function of the Universe , which is solution of the modified Wheeler–DeWitt equation in the representation of the quasi-position space, in the limit where the scale factor of the Universe is small. Although is a physically acceptable state it is not a realizable state of the Universe because has infinite norm, as in the ordinary case with no minimal length.

© The Author(s) 2021

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