Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-02-21
Phys.Rev. D54 (1996) 5174-5178; Erratum-ibid. D55 (1997) 1114
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 9 pages
Scientific paper
10.1103/PhysRevD.54.5174
Studies in string theory and in quantum gravity suggest the existence of a finite lower bound to the possible resolution of lengths which, quantum theoretically, takes the form of a minimal uncertainty in positions $\Delta x_0$. A finite minimal uncertainty in momenta $\Delta p_0$ has been motivated from the absence of plane waves on generic curved spaces. Both effects can be described as small noncommutative geometric features of space-time. In a path integral approach to the formulation of field theories on noncommutative geometries, we can now generally prove IR regularisation for the case of noncommutative geometries which imply minimal uncertainties $\Delta p_0$ in momenta.
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