In a toy model of gauge and gravitational interactions in $D \ge 4$dimensions, endowed with an invariant UV cut-off $\Lambda$, and containing alarge number $N$ of non-self-interacting matter species, the physical gauge andgravitational 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 appropriatepowers of ${1\over N}$. This implies that the infinite-bare-coupling (so-calledcompositeness) limit of these theories is smooth, and can even resemble ourworld. We argue that such a result, when extended to more realistic situations,can help avoid large-N violations of entropy bounds, solve the dilatonstabilization and GUT-scale problems in superstring theory, and provide a newpossible candidate for quintessence.
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机译：在$ D \ ge 4 $维中的量规和引力相互作用的玩具模型中，具有恒定的UV截止值$ \ Lambda $，并且包含大量$ N $的非自相互作用物质，物理量规截止处的引力耦合$ \ alpha_g \ equiv g ^ 2 \ Lambda ^ {D-4} $和$ \ alpha_G \ equiv G_N \ Lambda ^ {D-2} $被证明受适当的幂限制$ {1 \ N} $。这意味着这些理论的无穷耦合（所谓的复合性）极限是平滑的，甚至可以类似于我们的世界。我们认为，这样的结果，当推广到更现实的情况时，可以帮助避免对熵界限的大N违反，解决超弦理论中的扩张稳定性和GUT尺度问题，并为典型性提供新的可能。
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