Myers-Pospelov模型的量子化：作为QED微扰的光子扇区与标准费米子相互作用
Quantization of the Myers-Pospelov model: the photon sector interacting with standard fermions as a perturbation of QED
摘要：
研究了与标准费米子耦合的Myers-Pospelov模型的电磁扇区的量子化。我们的主要目标，基于实验和观测证据，是构建一个有效的理论，这是一个真正的扰动QED，这样设置零的洛伦兹不变性破坏参数将reproducingit. To为此，我们提供了一个物理动机处方的基础上，有效的字符模型，关于该模型的构建方式，以及如何QED极限应该接近。这相当于引入了一个额外的粗粒度物理能量标度$M$，在这个标度下，我们可以相信有效场论公式。在计算电子自能对洛伦兹不变性的破坏贡献时，成功地验证了该公式。这样的辐射校正被证明是适当的缩放非常小的因素为任何合理的参数值，没有微调的问题被发现。微因果关系的违反被高度抑制，只发生在一个空间的区域非常接近的光锥。模型的稳定性是通过约束到满足$1-|\mathbf{v}_{max}|> 6.5\times10^{-11}$的协调框架来保证的。
英文摘要：
We study the quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions. Our main objective, based upon experimental and observational evidence, is to construct an effective theory which is a genuine perturbation of QED, such that setting zero the Lorentz invariance violation parameters will reproduce it. To this end we provide a physically motivated prescription, based on the effective character of the model, regarding the way in which the model should be constructed and how the QED limit should be approached. This amounts to the introduction of an additional coarse-graining physical energy scale $M$, under which we can trust the effective field theory formulation. The prescription is successfully tested in the calculation of the Lorentz invariance violating contributions arising from the electron self-energy. Such radiative corrections turn out to be properly scaled by very small factors for any reasonable values of the parameters and no fine-tuning problems are found. Microcausality violations are highly suppressed and occur only in a space-like region extremely close to the light-cone. The stability of the model is guaranteed by restricting to concordant frames satisfying $1-|\mathbf{v}_{max}|> 6.5\times10^{-11}$.
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