Modified Dispersion Relations from Closed Strings in Toroidal Cosmology

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages LaTeX. Clarification at end of Section 3. Modified Discussion Section. Two notes added. Title changed

Scientific paper

10.1103/PhysRevD.65.106002

A long-standing problem of theoretical physics is the exceptionally small value of the cosmological constant $\Lambda \sim 10^{-120}$ measured in natural Planckian units. Here we derive this tiny number from a toroidal string cosmology based on closed strings. In this picture the dark energy arises from the correlation between momentum and winding modes that for short distances has an exponential fall-off with increasing values of the momenta.The freeze-out by the expansion of the background universe for these transplanckian modes may be interpreted as a frozen condensate of the closed-string modes in the three non-compactified spatial dimensions.

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