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The phase transition to eternal inflation

Paolo Creminelli1, Sergei Dubovsky2,3, Alberto Nicolis4, Leonardo Senatore2 and Matias Zaldarriaga2,5

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For slow-roll inflation we study the phase transition to the eternal regime. Starting from a finite inflationary volume, we consider the volume of the universe at reheating as order parameter. We show that there exists a critical value for the classical inflaton speed, dot phi2/H4 = 3/(2π2), where the probability distribution for the reheating volume undergoes a sharp transition. In particular, for sub-critical inflaton speeds all distribution moments become infinite. We show that at the same transition point the system develops a non-vanishing probability of having a strictly infinite reheating volume, while retaining a finite probability for finite values. Our analysis represents the exact quantum treatment of the system at lowest order in the slow-roll parameters and H2/MPl2.

Keywords

Space-Time Symmetries

Spacetime Singularities

Cosmology of Theories beyond the SM

PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

98.80.Qc Quantum cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 09 (September 2008)

Received 16 May 2008, accepted for publication 12 August 2008

Published 5 September 2008



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