2017/06/30 by J. R. Nascimento, A. Yu. Petrov, Carlos M. Reyes · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1140/epjc/s10052-018-6018-3
published as Eur. Phys. J. C (2018) 78:541 · 20 pages, 5 figures. New version with modifications in the renormalized Lagrangian. To be published in EPJC
arxiv created 2018/06/29 · arxiv updated 2018/07/04
The renormalization in a Lorentz-breaking scalar-spinor higher-derivative model involving ϕ4 self-interaction and the Yukawa-like coupling is studied. We explicitly de- monstrate that the convergence is improved in comparison with the usual scalar-spinor model, so, the theory is super-renormalizable, with no divergences beyond four loops. We compute the one-loop corrections to the propagators for the scalar and fermionic fields and show that in the presence of higher-order Lorentz invariance violation, the poles that dominate the physical theory, are driven away from the standard on-shell pole mass due to radiatively induced lower dimensional operators. The new operators change the standard gamma-matrix structure of the two-point functions, introduce large Lorentz-breaking corrections and lead to modifications in the renormalization conditions of the theory. We found the physical pole mass in each sector of our model.