Universality of quantum gravity corrections
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Date
2015-12-22
Authors
Das, Saurya
Vagenas, Elias C.
Journal Title
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Abstract
We show that the existence of a minimum measurable length and the related Generalized Uncertainty
Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians.
Thus, they predict quantum gravity corrections to various quantum phenomena. We compute
such corrections to the Lamb Shift, the Landau levels and the tunnelling current in a Scanning
Tunnelling Microscope (STM). We show that these corrections can be interpreted in two ways: (a)
either that they are exceedingly small, beyond the reach of current experiments, or (b) that they
predict upper bounds on the quantum gravity parameter in the GUP, compatible with experiments
at the electroweak scale. Thus, more accurate measurements in the future should either be able to
test these predictions, or further tighten the above bounds and predict an intermediate length scale,
between the electroweak and the Planck scale.
Description
Sherpa Romeo green journal. Permission to archive final published version
Keywords
Generalized uncertainty principle , GUP , Quantum gravity , Hamiltonian , Quantum gravity corrections , Lamb shift , Landau levels , STM , Scanning tunnelling microscope
Citation
Das, S., & Vagenas, E. C. (2008). Universality of quantum gravity corrections. Physical Review Letters, 101(22), 221301. doi: 10.1103/PhysRevLett.101.221301