中文

String/Quantum Gravity motivated Uncertainty Relations and Regularisation in Field Theory

高能物理 - 理论 2008-02-03 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

The possibility of the existence of small correction terms to the canonical commutation relations and the uncertainty relations has recently found renewed interest. In particular, such correction terms could induce finite lower bounds Δx0,Δp0\Delta x_0, \Delta p_0 to the resolution of distances and/or momenta. I review a general framework for the path integral formulation of quantum field theories on such generalised geometries, and focus then on the mechanisms by which Δp0>0\Delta p_0>0, and/or Δx0>0\Delta x_0>0 lead to IR and/or UV regularisation.

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引用

@article{arxiv.hep-th/9612082,
  title  = {String/Quantum Gravity motivated Uncertainty Relations and Regularisation in Field Theory},
  author = {Achim Kempf},
  journal= {arXiv preprint arXiv:hep-th/9612082},
  year   = {2008}
}

备注

6 pages, LaTex, (to appear in Proc. 21st Intl. Coll. on Group Theor. Methods in Physics, Goslar, July '96)