Large-N bounds on, and compositeness limit of, gauge and gravitational interactions

Abstract

In a toy model of gauge and gravitational interactions in $D\ge 4$ dimensions, endowed with an invariant UV cut-off $\Lambda$, and containing a large number $N$ of non-self-interacting matter species, the physical gauge and gravitational couplings at the cut-off, ${\alpha }_g\equiv g^2{\Lambda }^{D-4}$ and ${\alpha }_G\equiv G_N{\Lambda }^{D-2}$, are shown to be bounded by appropriate powers of $\frac{1}{N}$. This implies that the infinite-bare-coupling (so-called compositeness) limit of these theories is smooth, and can even resemble our world. We argue that such a result, when extended to more realistic situations, can help avoid large-N violations of entropy bounds, solve the dilaton stabilization and GUT-scale problems in superstring theory, and provide a new possible candidate for quintessence.

8 pages, Latex, minor modifications in notations and references

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• Quintessence as a run-away dilaton
• Violations of the equivalence principle in a dilaton-runaway scenario
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