Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem

Lay Nam Chang, Djordje Minic, Naotoshi Okamura, and Tatsu Takeuchi
Phys. Rev. D 65, 125028 – Published 19 June 2002
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Abstract

We investigate the effect of the minimal length uncertainty relation, motivated by perturbative string theory, on the density of states in momentum space. The relation is implemented through the modified commutation relation [xi,pj]=iħ[(1+βp2)δij+βpipj]. We point out that this relation, which is an example of a UV/IR relation, implies the finiteness of the cosmological constant. While our result does not solve the cosmological constant problem, it does shed new light on the relation between this outstanding problem and UV/IR correspondence. We also point out that the blackbody radiation spectrum will be modified at higher frequencies, but the effect is too small to be observed in the cosmic microwave background spectrum.

  • Received 9 January 2002

DOI:https://doi.org/10.1103/PhysRevD.65.125028

©2002 American Physical Society

Authors & Affiliations

Lay Nam Chang*, Djordje Minic, Naotoshi Okamura, and Tatsu Takeuchi§

  • Institute for Particle Physics and Astrophysics, Physics Department, Virginia Tech, Blacksburg, Virginia 24061

  • *Electronic address: laynam@vt.edu
  • Electronic address: dminic@vt.edu
  • Electronic address: nokamura@vt.edu
  • §Electronic address: takeuchi@vt.edu

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Issue

Vol. 65, Iss. 12 — 15 June 2002

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