Quantum corrections to Lorentz invariance violating theories: Fine-tuning problem
| Autor: | P.M. Crichigno, Héctor Vucetich |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics CPT symmetry Lorentz transformation Yukawa potential FOS: Physical sciences Scale invariance Lorentz covariance symbols.namesake Lorentz factor High Energy Physics - Theory (hep-th) Quantum electrodynamics symbols Quantum gravity Preferred frame |
| Zdroj: | Physics Letters B. 651:313-318 |
| ISSN: | 0370-2693 |
| DOI: | 10.1016/j.physletb.2007.06.025 |
| Popis: | It 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 prefered's 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. Comment: 10 pages, no figures. Version acceptd in Physics Letters B |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect