Strong restriction on inflationary vacua from the local gauge invariance I: Local gauge invariance and infrared regularity

Abstract

The primordial perturbation is widely accepted to be generated through the vacuum fluctuation of the scalar field which drives inflation. It is, however, not completely clear what is the natural vacuum in the inflationary universe particularly in the presence of non-linear interactions. In this series of papers, we will address this issue, focusing on the condition required for the removal of the divergence from the infrared (IR) contribution to loop diagrams. We show that requesting the gauge invariance in the local observable universe guarantees the IR regularity of the loop corrections beginning with a simple initial state. In our previous works, the IR regularity condition was discussed using the slow roll expansion, which restricts the background evolution of the inflationary universe. We will show more generally that requesting the gauge invariance/the IR regularity leads to non-trivial constraints on the allowed quantum states.

14 pages

References in corpus (7)

• Stochastic Inflationary Scalar Electrodynamics
• On the one loop corrections to inflation and the CMB anisotropies
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• IR divergence does not affect the gauge-invariant curvature perturbation
• Natural selection of inflationary vacuum required by infra-red regularity and gauge-invariance
• Influence of gauge artifact on adiabatic and entropy perturbations during inflation

Cited by in corpus (15)

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• Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
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• Patient Observers and Non-perturbative Infrared Dynamics in Inflation
• Large gauge transformation, Soft theorem, and Infrared divergence in inflationary spacetime
• Pure Gravitational Back-Reaction Observables
• Precision Predictions for the Primordial Power Spectra of Scalar Potential Models of Inflation
• Anisotropic separate universe and Weinberg's adiabatic mode
• Consistency relations and conservation of $\zeta$ in holographic inflation
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Conservation of $\zeta$ with radiative corrections from heavy field
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Generic analysis of kinetically driven inflation
• Inflationary spectral tilts as a result of the dilatation symmetry breaking