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

Chang, Lay NamMinic, DjordjeOkamura, NaotoshiTakeuchi, Tatsu2016-10-182016-10-182002-06-150556-2821http://hdl.handle.net/10919/73275We 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] = ih[(1 + βp2)δij + β′pipj]. 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.7 pagesIn CopyrightAstronomy & AstrophysicsPhysics, Particles & FieldsPhysicsSPACE-TIME UNCERTAINTYSTRING THEORYSUPERSTRING COLLISIONSQUANTUM-GRAVITYDIMENSIONSINFLATIONENERGYMILLIMETERPRINCIPLEDYNAMICSEffect of the minimal length uncertainty relation on the density of states and the cosmological constant problemArticle - RefereedPhysical Review Dhttps://doi.org/10.1103/PhysRevD.65.1250286512