Minimal length uncertainty relation and ultraviolet regularization

Studies in string theory and quantum gravity suggest the existence of a finite lower limit x₀ to the possible resolution of distances, at the latest on the scale of the Planck length of 10^-35 m. Within the framework of the Euclidean path integral we explicitly show ultraviolet regularization in field theory through this short distance structure. Both rotation and translation invariance can be preserved. An example is studied in detail.