Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation
Sándor BenczikInstitute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061Lay Nam ChangInstitute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061Djordje MinićInstitute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061Naotoshi OkamuraInstitute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061Saif RayyanInstitute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061Tatsu TakeuchiInstitute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061
2002en
ABI
Abstract
We continue our investigation of the phenomenological implications of the ``deformed'' commutation relations $[{x}_{i},{p}_{j}]=i\ensuremath{\Elzxh}[(1+\ensuremath{\beta}{p}^{2}){\ensuremath{\delta}}_{\mathrm{ij}}+{\ensuremath{\beta}}^{\ensuremath{'}}{p}_{i}{p}_{j}].$ 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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