arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0907.5516hep-th
收藏

半经典黑洞有效引力耦合的一个界

A bound on the effective gravitational coupling from semiclassical black holes

R. Brustein, G. Dvali, G. Veneziano

摘要:

我们表明,存在的半经典黑洞的大小为一个最小的长度尺度$l_{UV}$小意味着一个约束的引力模拟的't-Hooft的耦合$λ_G(l)\equiv N(l) G_N/l^2$在所有的尺度$l \ge l_{UV}$。这个证明对于任何一种引力的度规理论都是有效的,这种度规理论一贯地扩展了爱因斯坦的引力,并且基于关于半经典黑洞的两个假设:i)它们作为黑体发射,ii)它们是完美的量子发射体。高维引力和弱耦合弦论的例子被用来明确地检查我们的假设,并验证所提出的限制持有。最后,我们讨论了一般的量子引力理论和特别的弦论的界的一些结果。

英文摘要:

We show that the existence of semiclassical black holes of size as small as a minimal length scale $l_{UV}$ implies a bound on a gravitational analogue of 't-Hooft's coupling $λ_G(l)\equiv N(l) G_N/l^2$ at all scales $l \ge l_{UV}$. The proof is valid for any metric theory of gravity that consistently extends Einstein's gravity and is based on two assumptions about semiclassical black holes: i) that they emit as black bodies, and ii) that they are perfect quantum emitters. The examples of higher dimensional gravity and of weakly coupled string theory are used to explicitly check our assumptions and to verify that the proposed bound holds. Finally, we discuss some consequences of the bound for theories of quantum gravity in general and for string theory in particular.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑