https://doi.org/10.1140/epjc/s10052-018-6018-3
Regular Article - Theoretical Physics
Renormalization in a Lorentz-violating model and higher-order operators
1
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
2
Departamento de Ciencias Básicas, Universidad del Bío Bío, Casilla 447, Chillán, Chile
* e-mail: creyes@ubiobio.cl
Received:
4
January
2018
Accepted:
23
June
2018
Published online:
2
July
2018
The renormalization in a Lorentz-breaking scalar-spinor higher-derivative model involving 
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.
© The Author(s), 2018
