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

Large-N bounds on, and compositeness limit of, gauge and gravitational interactions
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规范和引力相互作用的大 N 界限和复合极限

DOI:
10.1088/1126-6708/2002/06/051
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发表时间:
2001
影响因子:
5.4
通讯作者:
G. Veneziano
G. Veneziano
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Gabriele Veneziano;G. Veneziano

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在玩具模型的规范和引力相互作用的D?四维,具有不变的紫外线截止值,和包含大量的N个非自我相互作用的物质物种,物理规范和引力耦合在截止,?g?g2?D呢?4、?G?GN?D?2,被证明是有界的适当权力的1/N。这意味着这些理论的无限裸耦合(所谓的复合性)极限是光滑的,甚至可以类似于我们的世界。我们认为,这样的结果,当扩展到更现实的情况下,可以帮助避免大N违反熵界,解决超弦理论中的量子稳定性和大统一体尺度问题,并提供了一个新的可能的候选人的精髓。
In a toy model of gauge and gravitational interactions in D ? 4 dimensions, endowed with an invariant UV cut-off ?, and containing a large number N of non-self-interacting matter species, the physical gauge and gravitational couplings at the cut-off, ?g?g2?D?4 and ?G?GN?D?2, are shown to be bounded by appropriate powers of 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.