中文

Minimal Length Uncertainty Relation and Ultraviolet Regularisation

高能物理 - 理论 2010-11-19 v1 广义相对论与量子宇宙学 数学物理 math.MP 量子代数 q-alg 量子物理

摘要

Studies in string theory and quantum gravity suggest the existence of a finite lower limit Δx0\Delta x_0 to the possible resolution of distances, at the latest on the scale of the Planck length of 1035m10^{-35}m. Within the framework of the euclidean path integral we explicitly show ultraviolet regularisation in field theory through this short distance structure. Both rotation and translation invariance can be preserved. An example geometry is studied in detail.

关键词

引用

@article{arxiv.hep-th/9612084,
  title  = {Minimal Length Uncertainty Relation and Ultraviolet Regularisation},
  author = {A. Kempf and G. Mangano},
  journal= {arXiv preprint arXiv:hep-th/9612084},
  year   = {2010}
}

备注

24 pages, LaTeX, 3 postscript figure files included via epsf option