English

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

High Energy Physics - Theory 2008-02-03 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP Quantum Algebra q-alg Quantum Physics

Abstract

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.

Keywords

Cite

@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}
}

Comments

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