Minimal Length Uncertainty Relation and Ultraviolet Regularisation
High Energy Physics - Theory
2010-11-19 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Algebra
q-alg
Quantum Physics
Abstract
Studies in string theory and quantum gravity suggest the existence of a finite lower limit to the possible resolution of distances, at the latest on the scale of the Planck length of . Within the framework of the euclidean path integral we explicitly show ultraviolet regularisation in field theory through this short distance structure. Both rotation and translation invariance can be preserved. An example geometry is studied in detail.
Cite
@article{arxiv.hep-th/9612084,
title = {Minimal Length Uncertainty Relation and Ultraviolet Regularisation},
author = {A. Kempf and G. Mangano},
journal= {arXiv preprint arXiv:hep-th/9612084},
year = {2010}
}
Comments
24 pages, LaTeX, 3 postscript figure files included via epsf option