Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation

Details Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation

2002-04-04

arxiv.org/abs/hep-th/0204049v2

Phys.Rev.D66:026003,2002

Physics

High Energy Physics

High Energy Physics - Theory

20 pages REVTEX4, 4 color eps figures, typos corrected

Scientific paper

10.1103/PhysRevD.66.026003

We continue our investigation of the phenomenological implications of the "deformed" commutation relations [x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} + beta' p_i p_j]. These commutation relations are motivated by the fact that they lead to the minimal length uncertainty relation which appears in perturbative string theory. In this paper, we consider the effects of the deformation on the classical orbits of particles in a central force potential. Comparison with observation places severe constraints on the value of the minimum length.

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