Phys. Rev. D 66, 026003 (2002) [11 pages]

Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation

Abstract

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Sándor Benczik^*, Lay Nam Chang^†, Djordje Minic^‡, Naotoshi Okamura^§, Saiffudin Rayyan^**, and Tatsu Takeuchi^††
Institute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061

Received 5 April 2002; published 28 June 2002

We continue our investigation of the phenomenological implications of the “deformed” commutation relations [x_i,p_j]=iħ[(1+βp²)δ_ij+β^′p_ip_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.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.66.026003

DOI:

10.1103/PhysRevD.66.026003

PACS:

11.25.Db, 02.40.Gh

^*Electronic address: benczik@vt.edu

^†Electronic address: laynam@vt.edu

^‡Electronic address: dminic@vt.edu

^§Electronic address: nokamura@vt.edu

^**Electronic address: srayyan@vt.edu

^††Electronic address: takeuchi@vt.edu

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Phys. Rev. D 66, 026003 (2002) [11 pages]

Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation