Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling

Details Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling

2006-04-20

arxiv.org/abs/hep-th/0604149v1

Phys.Rev. D74 (2006) 065009

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, revtex style, no figures

Scientific paper

10.1103/PhysRevD.74.065009

The influence of a Lorentz-violating fixed background on fermions is considered by means of a torsion-free non-minimal coupling. The non-relativistic regime is assessed and the Lorentz-violating Hamiltonian is determined. The effect of this Hamiltonian on the hydrogen spectrum is determined to first-order evaluation (in the absence of external magnetic field), revealing that there appear some energy shifts that modify the fine structure of the spectrum. In the case the non-minimal coupling is torsion-like, no first order correction shows up in the absence of an external field; in the presence of an external field, a secondary Zeeman effect is implied. Such effects are then used to set up stringent bounds on the parameters of the model.

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