We revisit here the naturalness problem of Lorentz invariance violations on a simple toy model of a scalar field coupled to a fermion field via a Yukawa interaction. We first review some well-known results concerning the low-energy percolation of Lorentz violation from high energies, presenting some details of the analysis not explicitly discussed in the literature and discussing some previously unnoticed subtleties. We then show how a separation between the scale of validity of the effective field theory and that one of Lorentz invariance violations can hinder this low-energy percolation. While such protection mechanism was previously considered in the literature, we provide here a simple illustration of how it works and of its general features. Finally, we consider a case in which dissipation is present, showing that the dissipative behaviour does not percolate generically to lower mass dimension operators albeit dispersion does. Moreover, we show that a scale separation can protect from unsuppressed low-energy percolation also in this case. © 2016, The Author(s).
|Titolo:||Lorentz violation naturalness revisited|
|Autori:||Belenchia, A.; Gambassi, A.; Liberati, S.|
|Rivista:||JOURNAL OF HIGH ENERGY PHYSICS|
|Data di pubblicazione:||2016|
|Digital Object Identifier (DOI):||10.1007/JHEP06(2016)049|
|Fulltext via DOI:||10.1007/JHEP06(2016)049|
|Appare nelle tipologie:||1.1 Journal article|