Quantum cosmology with dynamical vacuum in a minimal-length scenario

Autor: M. F. Gusson, A. Oakes O. Gonçalves, R. G. Furtado, J. C. Fabris, J. A. Nogueira
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 81, Iss 4, Pp 1-12 (2021)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-021-09114-8
Popis: 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 $$[{\hat{X}},{\hat{P}}] := \frac{i\hbar }{ 1 - \beta {\hat{P}}^2 }$$ [ X ^ , P ^ ] : = i ħ 1 - β P ^ 2 . We determine the wave function of the Universe $$ \psi _{qp}(\xi ,t)$$ ψ qp ( ξ , t ) , 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 $$\psi _{qp}(\xi ,t)$$ ψ qp ( ξ , t ) is a physically acceptable state it is not a realizable state of the Universe because $$ \psi _{qp}(\xi ,t)$$ ψ qp ( ξ , t ) has infinite norm, as in the ordinary case with no minimal length.
Databáze: Directory of Open Access Journals
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