Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-02-07
JHEP 0809:036,2008
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 8 figures. v2: JHEP published version, shortened title, added references
Scientific paper
10.1088/1126-6708/2008/09/036
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\phi^2/H^4 = 3/(2 \pi^2), 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 H^2/M_Pl^2.
Creminelli Paolo
Dubovsky Sergei
Nicolis Alberto
Senatore Leonardo
Zaldarriaga Matias
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