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arXiv · 1706.01466

Renormalization in a Lorentz-violating model and higher-order operators

J. R. Nascimento·A. Yu. Petrov·Carlos M. Reyes
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Abstract

The renormalization in a Lorentz-breaking scalar-spinor higher-derivative model involving $ϕ^4$ 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.

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J. R. Nascimento, A. Yu. Petrov, Carlos M. Reyes. 2018-06-29. Renormalization in a Lorentz-violating model and higher-order operators. https://doi.org/10.1140/epjc%2Fs10052-018-6018-3

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