Quantum corrections to Lorentz invariance violating theories: fine-tuning problem

dc.creatorCrichigno, Marcos
dc.creatorVucetich, Héctor
dc.date2007
dc.date2021-11-24T15:04:58Z
dc.date.accessioned2023-07-15T04:01:55Z
dc.date.available2023-07-15T04:01:55Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/128590
dc.identifierissn:0370-2693
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7467988
dc.descriptionIt is of general agreement that a quantum gravity theory will most probably mean a breakdown of the standard structure of space–time at the Planck-scale. This has motivated the study of Planck-scale Lorentz Invariance Violating (LIV) theories and the search for its observational signals. Yet, it has been recently shown that, in a simple scalar-spinor Yukawa theory, radiative corrections to tree-level Planck-scale LIV theories can induce large Lorentz violations at low energies, in strong contradiction with experiment, unless an unnatural fine-tuning mechanism is present. In this Letter, we show the calculation of the electron self-energy in the framework given by the Myers–Pospelov model for a Lorentz invariance violating QED. We find a contribution that depends on the preferred frame four-velocity which is not Planck-scale suppressed, showing that this model suffers from the same disease . Comparison with Hughes–Drever experiments requires a fine-tuning of 21 orders of magnitude for this model not to disagree with experiment.
dc.descriptionFacultad de Ciencias Astronómicas y Geofísicas
dc.formatapplication/pdf
dc.format313-318
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectFísica
dc.subjectQuantum corrections
dc.subjectLorentz invariance
dc.titleQuantum corrections to Lorentz invariance violating theories: fine-tuning problem
dc.typeArticulo
dc.typePreprint


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