String Theory and the Space-Time Uncertainty Principle

String Theory and the Space-Time Uncertainty Principle
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DOI:
10.1143/ptp.103.1081
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发表时间:
2000-04
影响因子:
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通讯作者:
T. Yoneya
T. Yoneya
中科院分区:
--
文献类型:
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作者:
T. Yoneya

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弦理论中时空不确定性原理的概念得到澄清和进一步发展。首先以合理自足的方式回顾原理的动机和推导。然后证明弦散射的非微扰(Borel 求和)高能高动量传递行为符合时空不确定性原理。还表明,由于这一原理,10 维弦理论通常表现出等于众所周知的 11 维普朗克长度 g 1/3 s 的特征长度尺度
The notion of a space-time uncertainty principle in string theory is clarified and further developed. The motivation and the derivation of the principle are first reviewed in a reasonably self-contained way. It is then shown that the nonperturbative (Borel summed) high-energy and high-momentum transfer behavior of string scattering is consistent with the space-time uncertainty principle. It is also shown that, as a consequence of this principle, string theories in 10 dimensions generically exhibit a characteristic length scale which is equal to the well-known 11 dimensional Planck length g 1/3 s