String/Quantum Gravity motivated Uncertainty Relations and Regularisation in Field Theory
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 $\Delta x_0, \Delta p_0$ 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 1996
- DOI:
- 10.48550/arXiv.hep-th/9612082
- arXiv:
- arXiv:hep-th/9612082
- Bibcode:
- 1996hep.th...12082K
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Mathematics - Quantum Algebra;
- Quantum Physics
- E-Print:
- 6 pages, LaTex, (to appear in Proc. 21st Intl. Coll. on Group Theor. Methods in Physics, Goslar, July '96)