Scale-invariant inflation with one-loop quantum corrections

Vicentini, Silvia; Vanzo, Luciano; Rinaldi, Massimiliano

doi:10.1103/physrevd.99.103516

Cited by 24 publications

(19 citation statements)

References 41 publications

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“…In cosmology there are global [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] or local [28][29][30][31][32][33][34][35][36][37][38][39] scale invariant alternatives to gravity with spontaneous breaking that generates the Planck scale by a non-minimal coupling.…”

Section: Motivationmentioning

confidence: 99%

Weyl R2 inflation with an emergent Planck scale

Ghilencea

2019

J. High Energ. Phys.

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We study inflation in Weyl gravity. The original Weyl quadratic gravity, based on Weyl conformal geometry, is a theory invariant under Weyl symmetry of (gauged) local scale transformations. In this theory Planck scale (M ) emerges as the scale where this symmetry is broken spontaneously by a geometric Stueckelberg mechanism, to Einstein-Proca action for the Weyl "photon" (of mass near M ). With this action as a "low energy" broken phase of Weyl gravity, long-held criticisms of the latter (due to non-metricity) are avoided. In this context, inflation with field values above M is natural, since this is just a phase transition scale from Weyl gravity (geometry) to Einstein gravity (Riemannian geometry), where the massive Weyl photon decouples. We show that inflation in Weyl gravity coupled to a scalar field has results close to those in Starobinsky model (recovered for vanishing non-minimal coupling), with a mildly smaller tensor-to-scalar ratio (r). Weyl gravity predicts a specific, narrow range 0.00257 ≤ r ≤ 0.00303, for a spectral index n s within experimental bounds at 68%CL and e-folds number N = 60. This range of values will soon be reached by CMB experiments and provides a test of Weyl

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Section: Motivationmentioning

confidence: 99%

Weyl R2 inflation with an emergent Planck scale

Ghilencea

2019

J. High Energ. Phys.

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“…[13,32,[87][88][89][90][91][92] inflation is not based (explicitly) on a Coleman-Weinberg type potential, other refs. [6,14,[93][94][95][96][97][98] employ the Coleman-Weinberg mechanism to generate the inflaton potential. Most similar to our approach are refs.…”

Section: Effective Action For Inflationmentioning

confidence: 99%

“…ref. [14]), and account for any changes brought on by the inclusion of a non-zero frame discriminant after transforming to the Einstein frame [102]. (iii) As our construction is based on scale invariance, the Weyl tensor squared term should not be omitted in a complete model.…”

Section: Jhep08(2021)016mentioning

confidence: 99%

“…Scale invariance, whether it be global [1][2][3][4] (and recently in refs. [5][6][7][8][9][10][11][12][13][14]) or local [15][16][17][18][19][20][21][22][23][24][25][26][27][28] (recently in refs. [29][30][31][32]), scale symmetry has played a central role based on the fact that it forbids the presence of an Einstein-Hilbert term in the action.…”

Section: Introductionmentioning

confidence: 99%

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Unified emergence of energy scales and cosmic inflation

Kubo

Kuntz

Lindner

et al. 2021

J. High Energ. Phys.

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In the quest for unification of the Standard Model with gravity, classical scale invariance can be utilized to dynamically generate the Planck mass MPl. However, the relation of Planck scale physics to the scale of electroweak symmetry breaking μH requires further explanation. In this paper, we propose a model that uses the spontaneous breaking of scale invariance in the scalar sector as a unified origin for dynamical generation of both scales. Using the Gildener-Weinberg approximation, only one scalar acquires a vacuum expectation value of υS ∼ (1016−17) GeV, thus radiatively generating $$ {M}_{\mathrm{P}1}\approx {\beta}_S^{1/2}{\upsilon}_S $$ M P 1 ≈ β S 1 / 2 υ S and μH via the neutrino option with right handed neutrino masses mN = yMυS ∼ 107 GeV. Consequently, active SM neutrinos are given a mass with the inclusion of a type-I seesaw mechanism. Furthermore, we adopt an unbroken Z2 symmetry and a Z2-odd set of right-handed Majorana neutrinos χ that do not take part in the neutrino option and are able to produce the correct dark matter relic abundance (dominantly) via inflaton decay. The model also describes cosmic inflation and the inflationary CMB observables are predicted to interpolate between those of R2 and linear chaotic inflationary model and are thus well within the strongest experimental constraints.

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“…The careful reader might notice that also ξ φ and α are subject to quantum corrections. However, it can be proven that their running is suppressed and can be safely ignored because of the constraint on the amplitude of scalar perturbations[87,469] and perturbativity of the theory (e.g [122,140,152,470]. and refs.…”

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confidence: 99%

Cosmological implications of theories beyond the standard model of particle physics

Gialamas¹,

Γιαλαμάς²

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Στο πρώτο μέρος της διατριβής, υπολογίζεται ο ρυθμός παραγωγής βαρυτίνων, μέσω της θερμικής ιδιοενέργειας σε επίπεδο ενός-βρόχου. Επίσης, παρέχουμε μια εύχρηστη φόρμουλα για τον ρυθμό παραγωγής και τη θερμική αφθονία των βαρυτίνων, σε συνάρτηση με τη θερμοκρασία αναθέρμανσης του Σύμπαντος. Η αφθονία των βαρυτίνων συγκρίνεται με την παρατηρούμενη σκοτεινή ύλη. Στο δεύτερο μέρος της διατριβής θεωρούμε την τετραγωνική βαρύτητα σε Palatini φορμαλισμό υποθέτοντας την ύπαρξη βαθμωτών πεδίων συνδεδεμένων με τη βαρύτητα. Όταν τα βαθμωτά πεδία αναπτύξουν την αναμενόμενη τιμή του κενού τους η κλίμακα Planck δημιουργείται δυναμικά. Το αποτέλεσμα των τετραγωνικών όρων καμπυλότητας είναι η μείωση της τιμής του λόγου τανυστή-βαθμωτού r. Οι πληθωριστικές προβλέψεις όλων των υπό εξέταση μοντέλων διαπιστώνεται ότι συμφωνούν με τα τελευταία παρατηρητικά δεδομένα που έχουν τεθεί από τη συνεργασία Planck για ένα ευρύ φάσμα των εμπλεκόμενων παραμέτρων.

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Scale-invariant inflation with one-loop quantum corrections

Cited by 24 publications

References 41 publications

Weyl R2 inflation with an emergent Planck scale

Weyl R2 inflation with an emergent Planck scale

Unified emergence of energy scales and cosmic inflation

Cosmological implications of theories beyond the standard model of particle physics

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