Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-20
JHEP 0704:056,2007
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 4 figures; altered normalization of inflaton fluctuations which changes the parameter values for which the model is
Scientific paper
10.1088/1126-6708/2007/04/056
We construct approximate inflationary solutions rolling away from the unstable maximum of p-adic string theory, a nonlocal theory with derivatives of all orders. Novel features include the existence of slow-roll solutions even when the slow-roll parameters, as usually defined, are much greater than unity, as well as the need for the Hubble parameter to exceed the string mass scale m_s. We show that the theory can be compatible with CMB observations if g_s / \sqrt{p} ~ 10^{-7}, where g_s is the string coupling, and if m_s < 10^{-6} M_p. A red-tilted spectrum is predicted, and the scalar-to-tensor ratio is bounded from above as r < 0.006. The p-adic theory is shown to have identical inflationary predictions to a local theory with superPlanckian parameter values, but with the advantage that the p-adic theory is ultraviolet complete.
Barnaby Neil
Biswas Tirthabir
Cline James M.
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