Quantum cosmology with dynamical vacuum in a minimal-length scenario

In this work, we consider effects of the dynamical vacuum in quantum cosmology presence a minimum length introduced by GUP (generalized uncertainty principle) related to modified commutation relation $[\hat{X},\hat{P}] := \frac{i\hbar}{ 1 - \beta\hat{P}^2 }$ . We determine wave function Universe $ \psi_{qp}(\xi,t)$, which is solution Wheeler-DeWitt equation representation quasi-position space, limit where scale factor small. Although $\psi_{qp}(\xi,t)$ physically acceptable state it not realizable because \psi_{qp}(\xi,t)$ has infinite norm, as ordinary case with no minimal length.