Scaling behavior of observables as a model characteristic in multifield inflation

Abstract

One of the fundamental questions in inflation is how to characterize the structure of different types of models in the field theoretic landscape. Proposals in this direction include attempts to directly characterize the formal structure of the theory by considering complexity measures of the potentials. An alternative intrinsic approach is to focus on the behavior of the observables that result from different models and to ask whether their behavior differs among models. This type of analysis can be applied even to nontrivial multifield theories where a natural measure of the complexity of the model is not obvious and the analytical evaluation of the observables is often impossible. In such cases one may still compute these observables numerically and investigate their behavior. One interesting case is when observables show a scaling behavior, in which case theories can be characterized in terms of their scaling amplitudes and exponents. Generically, models have nontrivial parameter spaces, leading to exponents that are functions of these parameters. In such cases we consider an iterative procedure to determine whether the exponent functions in turn lead to a scaling behavior. We show that modular inflation models can be characterized by families of simple scaling laws and that the scaling exponents that arise in this way in turn show a scaling law in dependence of these varying energy scales.

arXiv comment22 pages, 6 figures; extended JCAP version, corrected typos

References in corpus (35)

• Hybrid Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Hilltop Inflation
• Quantum Cosmological Perturbations: Predictions and Observations
• Universality classes of inflation
• Hyperinflation
• String Inflation After Planck 2013
• Inflationary predictions for scalar and tensor fluctuations reconsidered
• The large-N running of the spectral index of inflation
• Primordial perturbations from inflation with a hyperbolic field-space
• Inflation at Low Scales: General Analysis and a Detailed Model
• The Simons Observatory: Constraining inflationary gravitational waves with multi-tracer B-mode delensing
• Four-year Cosmology Large Angular Scale Surveyor (CLASS) Observations: On-sky Receiver Performance at 40, 90, 150, and 220 GHz Frequency Bands
• Clarifying Inflation Models: Slow-roll as an expansion in 1/N_{efolds}
• Hyperbolic field space and swampland conjecture for DBI scalar
• Multi-field Inflation in High-Slope Potentials
• Inflation in Multi-field Modified DBM Potentials
• Modular Inflation Observables and $j$-Inflation Phenomenology
• Generalized two-field $\alpha$-attractor models from geometrically finite hyperbolic surfaces
• Fine-tuning criteria for inflation and the search for primordial gravitational waves
• Multifield Reheating after Modular $j$-Inflation
• Hidden symmetries of two-field cosmological models
• Generalized two-field $\alpha$-attractors from the hyperbolic triply-punctured sphere
• Harmonic Hybrid Inflation
• Inflaton Potential Reconstruction and Generalized Equations of State
• Modular Inflation at Higher Level $N$
• Baryogenesis via leptogenesis in multi-field inflation
• A General Framework of Automorphic Inflation
• Large and small field inflation from hyperbolic sigma models
• Cosmological flows on hyperbolic surfaces
• The infrared behavior of tame two-field cosmological models
• Symmetries of stationary points of the $G$-invariant potential and the framework of the auxiliary group
• Escape from the swamp with spectator