Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem
By L. Chang, D. Minic, N. Okamura, T. Takeuchi. 2002
286 citations recorded by the source corpus.
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 [x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} + beta' p_i p_j]. We point out that this relation, which is an example of an 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bd18c3b9dd913356a8bec8b3dbb8ef9bfce29936
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Citations in the corpus
- Minimal Length Scale Scenarios for Quantum Gravity (2012, methodology): “The partition functions of minimal-length quantized statistical mechanics have been derived in [257], in [6] the consequences of the GUP on the Liouville theorem were investigated, and in [84] the modification of the density of states and the arising consequences for black-hole thermodynamics were s”
- Generalized Uncertainty Principle: Approaches and Applications (2014, unknown): “(167), can be rewritten as ∆x ≥ h̄(1/∆p+ β∆p), where β is a constant [233].”