Self-consistency in Theories with a Minimal Length
High Energy Physics - Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
Abstract
The aim of this paper is to clarify the relation between three different approaches of theories with a minimal length scale: A modification of the Lorentz-group in the 'Deformed Special Relativity', theories with a 'Generalized Uncertainty Principle' and those with 'Modified Dispersion Relations'. It is shown that the first two are equivalent, how they can be translated into each other, and how the third can be obtained from them. An adequate theory with a minimal length scale requires all three features to be present.
Keywords
Cite
@article{arxiv.hep-th/0510245,
title = {Self-consistency in Theories with a Minimal Length},
author = {S. Hossenfelder},
journal= {arXiv preprint arXiv:hep-th/0510245},
year = {2007}
}
Comments
typos corrected, published with new title following referee's advice