Planck scale effects on some low energy quantum phenomena
Date
2016-01-19
Authors
Das, Saurya
Mann, R. B.
Journal Title
Journal ISSN
Volume Title
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Abstract
Almost all theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty
Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). Recently it
was shown that the GUP gives rise to corrections to the Schr¨odinger and Dirac equations, which in
turn affect all non-relativistic and relativistic quantum Hamiltonians. In this paper, we apply it to
superconductivity and the quantum Hall effect and compute Planck scale corrections. We also show
that Planck scale effects may account for a (small) part of the anomalous magnetic moment of the
muon. We obtain (weak) empirical bounds on the undetermined GUP parameter from present-day
experiments.
Description
Sherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies.
Keywords
Quantum gravity , Heisenberg uncertainty principle , Generalized uncertainty principle , GUP , Planck
Citation
Das, S., & Mann, R. B. (2011). Planck scale effects on some low energy quantum phenomena. Physics Letters B, 704(5), 596-599. doi: 10.1016/j.physlet.2011.09.056