Self-consistency in Theories with a Minimal Length

Details Self-consistency in Theories with a Minimal Length Self-consistency in Theories with a Minimal Length

2005-10-28

arxiv.org/abs/hep-th/0510245v2

Class.Quant.Grav. 23 (2006) 1815-1821

Physics

High Energy Physics

High Energy Physics - Theory

typos corrected, published with new title following referee's advice

Scientific paper

10.1088/0264-9381/23/5/N01

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.

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