Phys. Rev. D 55, 7909–7920 (1997)Minimal length uncertainty relation and ultraviolet regularizationReceived 9 December 1996; published in the issue dated 15 June 1997 Studies in string theory and quantum gravity suggest the existence of a finite lower limit Δx0 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. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.7909
DOI:
10.1103/PhysRevD.55.7909
PACS:
11.25.Sq, 04.60.Gw, 11.10.Gh, 11.30.Cp
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