arXiv 1005.34972010-05-19hep-thhep-ph

爱因斯坦引力的自完备性

Self-Completeness of Einstein Gravity

Gia Dvali, Cesar Gomez

备注：: 40 pages, Latex

摘要：

我们认为，在爱因斯坦引力的普朗克长度是最短的长度的性质，和任何试图解决trans-Planckian物理反弹回宏观距离由于黑洞的形成。在爱因斯坦引力中，trans-Planckian传播量子自由度不存在，相反，它们等价于经典黑洞，后者完全由较轻的红外自由度描述，并对虚过程做出指数软贡献。基于这一性质，我们认为纯爱因斯坦（超）引力及其高维推广在深紫外下是自完备的，但在标准威尔逊意义下不是。我们认为，弦论的强耦合极限是内建在纯爱因斯坦引力中的，而弱耦合弦论极限的作用是将引力与其他粒子种类一致地耦合起来，它们的数量由逆弦耦合决定.我们还讨论了一些投机性的想法推广的概念，非威尔逊的自完备性的其他理论，如标准模型没有希格斯粒子。

英文摘要：

We argue, that in Einsteinian gravity the Planck length is the shortest length of nature, and any attempt of resolving trans-Planckian physics bounces back to macroscopic distances due to black hole formation. In Einstein gravity trans-Planckian propagating quantum degrees of freedom cannot exist, instead they are equivalent to the classical black holes that are fully described by lighter infra-red degrees of freedom and give exponentially-soft contribution into the virtual processes. Based on this property we argue that pure-Einstein (super)gravity and its high-dimensional generalizations are self-complete in deep-UV, but not in standard Wilsonian sense. We suggest that certain strong-coupling limit of string theory is built-in in pure Einstein gravity, whereas the role of weakly-coupled string theory limit is to consistently couple gravity to other particle species, with their number being set by the inverse string coupling. We also discuss some speculative ideas generalizing the notion of non-Wilsonian self-completeness to other theories, such as the standard model without the Higgs.

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