On the possibility of blue tensor spectrum within single field inflation

Abstract

We present a series of theoretical constraints on the potentially viable inflation models that might yield a blue spectrum for primordial tensor perturbations. By performing a detailed dynamical analysis we show that, while there exists such possibility, the corresponding phase space is strongly bounded. Our result implies that, in order to achieve a blue tilt for inflationary tensor perturbations, one may either construct a non-canonical inflation model delicately, or study the generation of primordial tensor modes beyond the standard scenario of single slow-roll field.

(v1) 18 pages, 1 figure, 2 tables; (v2) 12 pages in REVTeX4, to appear in Nuclear Physics B

References in corpus (28)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• G-inflation: inflation driven by the Galileon field
• Towards a Nonsingular Bouncing Cosmology
• Toward an Understanding of Foreground Emission in the BICEP2 Region
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
• Dynamical behavior in $f(T,T_G)$ cosmology
• Higgs G-inflation
• A joint analysis of Planck and BICEP2 B modes including dust polarization uncertainty
• Variable gravity: A suitable framework for quintessential inflation
• Anisotropy in a Nonsingular Bounce
• Constraints on the Sound Speed of Dynamical Dark Energy
• Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
• Some remarks on the dynamical systems approach to fourth order gravity
• Inflation in (Super-)renormalizable Gravity
• A class of quintessential inflation models with parameter space consistent with BICEP2
• Super-inflation in Loop Quantum Cosmology
• Closed String Thermodynamics and a Blue Tensor Spectrum
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Cosmological dynamics of exponential gravity
• Evidence for bouncing evolution before inflation after BICEP2
• Evading Lyth bound in models of quintessential inflation
• Some remarks about non-minimally coupled scalar field models
• Probing Noncommutativity with Inflationary Gravitational Waves
• Testing quantum gravity effects with latest CMB observations
• Cosmological dynamical systems
• Higher derivatives and power spectrum in effective single field inflation

Cited by in corpus (40)

• Horndeski theory and beyond: a review
• Inflation after Planck: Judgment Day
• Blue-tilted inflationary tensor spectrum and reheating in the light of NANOGrav results
• Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• Primordial black holes and gravitational waves from non-canonical inflation
• Propagating speed of primordial gravitational waves and inflation
• Is there an effect of a nontrivial $c_T$ during inflation?
• Ultra slow-roll G-inflation
• Probing The Early Universe Cosmology With NANOGrav: Possibilities and Limitations
• Emergent Universe and Genesis from the DHOST Cosmology
• Phase space analysis and singularity classification for linearly interacting dark energy models
• Fingerprint of GeV scale right-handed neutrinos on inflationary gravitational waves and PTA data
• Primordial Tensor Perturbation in Double Inflationary Scenario with a Break
• Hamilton-Jacobi formalism for inflation with non-minimal derivative coupling
• $\alpha$ attractors in Quintessential Inflation motivated by Supergravity
• Null energy condition violation during inflation and pulsar timing array observations
• Lorentzian Quintessential Inflation
• Gravitational Waves-Tomography of Low-Scale-Leptogenesis
• Quintessential Inflation from Lorentzian Slow Roll
• Two-field cosmological phase transitions and gravitational waves in the singlet Majoron model
• Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$
• Implication of Pulsar Timing Array Experiments on Cosmological Gravitational Wave Detection
• G-Warm inflation
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• V-mode Polarization in Axion Inflation and Preheating
• The Scale Factor Potential Approach to Inflation
• Tomography of flavoured leptogenesis with primordial blue gravitational waves
• Differentiating G-inflation from String Gas Cosmology using the Effective Field Theory Approach
• Dynamically Generated Inflationary Lambda-CDM
• Primordial Black Hole Formation in a Dust Bouncing Model
• On signatures of spontaneous collapse dynamics modified single field inflation
• Schwinger-Keldysh mechanism in extended quasi single field inflation
• Climbing over the potential barrier during inflation via null energy condition violation
• Cosmology of fermionic dark energy coupled to curvature
• Gravitational waves in a cyclic Universe: resilience through cycles and vacuum state
• Inflation in String Field Theory
• Multimodality in the Search for New Physics in Pulsar Timing Data and the Case of Kination-amplified Gravitational-wave Background from Inflation
• A new parameter in attractor single-field inflation
• Smoking-gun signatures of bounce cosmology from echoes of relic gravitational waves