量子Myers-Pospelov模型中光子扇区的改进描述
The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
摘要:
研究了与标准费米子耦合的Myers-Pospelov模型电磁扇区的量子化。我们的主要目标是建立一个有效的量子理论,导致一个真正的微扰的QED,这样设置为零的洛伦兹不变性破坏(LIV)参数将重现它。这是通过引入一个额外的低能量标度$M$,以及物理动机的处方采取QED极限。在单圈近似下计算了电子自能,验证了该公式的正确性。LIV辐射校正结果是适当的缩放非常小的因素,任何合理的值的参数,没有微调问题,发现在这个阶段和选择$M$的顺序的电弱对称性破缺规模是一致的LIV参数的严格界限,特别是与所产生的诱导三维运营商。
英文摘要:
The quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions is studied. Our main objective is to construct an effective quantum theory that results in a genuine perturbation of QED, such that setting zero the Lorentz invariance violation (LIV) parameters will reproduce it. This is achieved by introducing an additional low energy scale $M$, together with a physically motivated prescription to take the QED limit. The prescription is successfully tested in the calculation of the electron self-energy in the one loop approximation. The LIV radiative corrections turn out to be properly scaled by very small factors for any reasonable values of the parameters, no fine-tuning problems are found at this stage and the choice for $M$ to be of the order of the electroweak symmetry breaking scale is consistent with the stringent bounds for the LIV parameters, in particular with those arising from induced dimension three operators.
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