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arXiv 1706.01466hep-th
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Lorentz破坏模型的重正化与高阶算子

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

J. R. Nascimento, A. Yu. Petrov, Carlos M. Reyes

摘要:

研究了含有$ϕ^4$自相互作用和Yukawa耦合的Lorentz破缺标量旋量高阶导数模型的重整化.我们明确地证明,与通常的标量-旋量模型相比,收敛性得到了改善,因此,该理论是超重整化的,没有超过四个循环的发散。我们计算的标量和费米子场的传播的单圈校正,并表明,在高阶洛伦兹不变性违反的存在下,主导物理理论的极点,被驱离标准的壳极质量由于辐射诱导的低维运营商。新的算子改变了两点函数的标准伽玛矩阵结构,引入了大的洛伦兹破缺修正,并导致了理论重正化条件的修改。我们在模型的每个扇区中找到了物理极点质量。

英文摘要:

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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