We study inflation as a 'cosmic' renormalization-group (RG) flow. The flow, which encodes the dependence on the background metric, is described by a running coupling a, which parametrizes the slow roll, a de Sitter free, analytic beta function and perturbation spectra that areRGinvariant in the superhorizon limit. Using RG invariance as a guiding principle, we classify the main types of flows according to the properties of their spectra, without referring to their origins from specific actions or models. Novel features include spectra with essential singularities in a and violations of the relation r + 8nt = 0 to the leading order. Various classes of potentials studied in the literature can be described by means of the RG approach, even when the action includes aWeyl-squared term, while others are left out. In known cases, the classification helps identify the models that are ruled out by data. The RG approach is also able to generate spectra that cannot be derived from standard Lagrangian formulations.

Renormalization-group techniques for single-field inflation in primordial cosmology and quantum gravity

Anselmi D.
;
Fruzza F.;Piva M.
2021-01-01

Abstract

We study inflation as a 'cosmic' renormalization-group (RG) flow. The flow, which encodes the dependence on the background metric, is described by a running coupling a, which parametrizes the slow roll, a de Sitter free, analytic beta function and perturbation spectra that areRGinvariant in the superhorizon limit. Using RG invariance as a guiding principle, we classify the main types of flows according to the properties of their spectra, without referring to their origins from specific actions or models. Novel features include spectra with essential singularities in a and violations of the relation r + 8nt = 0 to the leading order. Various classes of potentials studied in the literature can be described by means of the RG approach, even when the action includes aWeyl-squared term, while others are left out. In known cases, the classification helps identify the models that are ruled out by data. The RG approach is also able to generate spectra that cannot be derived from standard Lagrangian formulations.
2021
Anselmi, D.; Fruzza, F.; Piva, M.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1114995
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 1
social impact