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• W2092068979 abstract "We investigate the initial state of the inflationary universe. In our recent publications, we have shown that requesting the gauge invariance in the local observable universe guarantees the infrared (IR) regularity of loop corrections in a general single clock inflation. Following this study, in this paper, we show that choosing the Euclidean vacuum ensures the gauge invariance in the local universe and hence the IR regularity of loop corrections. It has been suggested that loop corrections to inflationary perturbations may yield secular growth, which can lead to the breakdown of the perturbative analysis in an extremely long-term inflation. The absence of secular growth has been claimed by picking up only the IR contributions, which we think is incomplete because the non-IR modes that are comparable to or smaller than the Hubble scale can potentially contribute to the secular growth. We prove the absence of secular growth without neglecting these non-IR modes to a certain order in the perturbative expansion. We also discuss how the regularity of the n-point function for the genuinely gauge-invariant variable constrains the initial states of the inflationary universe. These results apply in a fully general single-field model of inflation." @default.
• W2092068979 created "2016-06-24" @default.
• W2092068979 creator A5039741429 @default.
• W2092068979 creator A5055984304 @default.
• W2092068979 date "2013-06-01" @default.
• W2092068979 modified "2023-09-24" @default.
• W2092068979 title "Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of secular growth in the Euclidean vacuum" @default.
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• W2092068979 doi "https://doi.org/10.1093/ptep/ptt037" @default.
• W2092068979 hasPublicationYear "2013" @default.
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