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

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

1996-12-08

arxiv.org/abs/hep-th/9612082v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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 $\Delta x_0, \Delta p_0$ 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 $\Delta p_0>0$, and/or $\Delta x_0>0$ lead to IR and/or UV regularisation.

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