The Consistent Result of Cosmological Constant From Quantum Cosmology and Inflation with Born-Infeld Scalar Field

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dc.creatorLu, H. Q.
dc.creatorFang, W.
dc.creatorHuang, Z. G.
dc.creatorJi, P. Y.
dc.date2007-01-15
dc.date2008-02-20
dc.date.accessioned2026-07-07T11:44:01Z
dc.date.available2026-07-07T11:44:01Z
dc.descriptionThe Quantum cosmology with Born-Infeld(B-I) type scalar field is considered. In the extreme limits of small cosmological scale factor the wave function of the universe can also be obtained by applying the methods developed by Hartle-Hawking(H-H) and Vilenkin. H-H wave function predicts that most Probable cosmological constant $Λ$ equals to $\frac{1}η$($\frac{1}{2η}$ equals to the maximum of the kinetic energy of scalar field). It is different from the original results($Λ=0$) in cosmological constant obtained by Hartle-Hawking. The Vilenkin wave function predicts a nucleating unverse with largest possible cosmological constant and it is larger than $1/η$. The conclusions have been nicely to reconcile with cosmic inflation. We investigate the inflation model with B-I type scalar field, and find that $η$ depends on the amplitude of tensor perturbation $δ_h$, with the form $\frac{1}η\simeq \frac{m^2}{12π[(\frac{9δ_Φ^2}{N δ_h^2})^2-1]}.$ The vacuum energy in inflation epoch depends on the tensor-to-scalar ratio $\frac{δ_h}{δ_Φ}$. The amplitude of the tensor perturbation ${δ_{h}}$ can, in principle, be large enough to be discovered. However, it is only on the border of detectability in future experiments. If it has been observed in future, this is very interesting to determine the vacuum energy in inflation epoch.
dc.description12 pages, one figure, references added, accepted by European Physical Journal C
dc.identifierhttps://arxiv.org/abs/hep-th/0701135
dc.identifierhttp://arxiv.org/abs/hep-th/0701135
dc.identifierEur.Phys.J.C55:329-335,2008
dc.identifierdoi:10.1140/epjc/s10052-008-0564-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201456
dc.subjectHigh Energy Physics - Theory
dc.titleThe Consistent Result of Cosmological Constant From Quantum Cosmology and Inflation with Born-Infeld Scalar Field
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