Regular Article – Theoretical Physics
Quantum cosmology with dynamical vacuum in a minimal-length scenario
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
Accepted: 2 April 2021
Published online: 20 April 2021
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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