Inflationary power spectra with quantum holonomy corrections

2014
journal article
article
10
cris.lastimport.wos2024-04-09T21:33:14Z
dc.abstract.enIn this paper we study slow-roll inflation with holonomy corrections from loop quantum cosmology. Both tensor and scalar power spectra of primordial perturbations are computed up to the first order in slow-roll parameters and $V/ \rho_{c}$, where V is a potential of the scalar field and $\rho_{c}$ is a critical energy density (expected to be of the order of the Planck energy density). Possible normalizations of modes at short scales are discussed. In case the normalization is performed with use of the Wronskian condition applied to adiabatic vacuum, the tensor and scalar spectral indices are not quantum corrected in the leading order. However, by choosing an alternative method of normalization one can obtain quantum corrections in the leading order. Furthermore, we show that the holonomy-corrected equation of motion for tensor modes can be derived from an effective background metric. This allows us to prove that the Wronskian normalization condition for the tensor modes preserves the classical form.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorMielczarek, Jakub - 103621 pl
dc.date.accessioned2015-06-22T13:32:08Z
dc.date.available2015-06-22T13:32:08Z
dc.date.issued2014pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number3pl
dc.description.publication1,5pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume2014pl
dc.identifier.articleid048pl
dc.identifier.doi10.1088/1475-7516/2014/03/048pl
dc.identifier.eissn1475-7516pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/9986
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceCC-BY-SA
dc.rights.uri*
dc.share.typeinne
dc.subject.eninflationpl
dc.subject.enprimordial gravitational waves (theory)pl
dc.subject.enquantum cosmologypl
dc.subject.enquantum gravity phenomenologypl
dc.subtypeArticlepl
dc.titleInflationary power spectra with quantum holonomy correctionspl
dc.title.journalJournal of Cosmology and Astroparticle Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T21:33:14Z
dc.abstract.enpl
In this paper we study slow-roll inflation with holonomy corrections from loop quantum cosmology. Both tensor and scalar power spectra of primordial perturbations are computed up to the first order in slow-roll parameters and $V/ \rho_{c}$, where V is a potential of the scalar field and $\rho_{c}$ is a critical energy density (expected to be of the order of the Planck energy density). Possible normalizations of modes at short scales are discussed. In case the normalization is performed with use of the Wronskian condition applied to adiabatic vacuum, the tensor and scalar spectral indices are not quantum corrected in the leading order. However, by choosing an alternative method of normalization one can obtain quantum corrections in the leading order. Furthermore, we show that the holonomy-corrected equation of motion for tensor modes can be derived from an effective background metric. This allows us to prove that the Wronskian normalization condition for the tensor modes preserves the classical form.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Mielczarek, Jakub - 103621
dc.date.accessioned
2015-06-22T13:32:08Z
dc.date.available
2015-06-22T13:32:08Z
dc.date.issuedpl
2014
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
3
dc.description.publicationpl
1,5
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
2014
dc.identifier.articleidpl
048
dc.identifier.doipl
10.1088/1475-7516/2014/03/048
dc.identifier.eissnpl
1475-7516
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/9986
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
CC-BY-SA
dc.rights.uri*
dc.share.type
inne
dc.subject.enpl
inflation
dc.subject.enpl
primordial gravitational waves (theory)
dc.subject.enpl
quantum cosmology
dc.subject.enpl
quantum gravity phenomenology
dc.subtypepl
Article
dc.titlepl
Inflationary power spectra with quantum holonomy corrections
dc.title.journalpl
Journal of Cosmology and Astroparticle Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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