论文标题
在违反莱伦兹的浅色中
On the lightlike Lorentz violation
论文作者
论文摘要
我们考虑通过零“长度固定”约束出现的灯光自发的lorentz违规（SLIV），$ a_ {μ} a^{μ} = 0 $，并讨论其在常规QED及以后的框架中的物理后果。同样，就像在及时且空间般的SLIV案例中一样，$ a_ {μ} a^{μ} = \ pm m_ {a}^{2} $（$ m_ {a {a} $是SLIV的比例），而这种约束则导致了Nambu-Goldsone Photon的出现。被打破了。同时，与以前的两种情况的关键差异是，与莱伦兹违规的轻型真空似乎无限地与所有其他真空（包括对称的真空）无限地退化。我们表明，可以通过引入一个额外的量规矢量场相对于普通物质而取消这种退化性，尽管与基本$ a_ {μ} $ field具有一些潜在的耦合。它们的轻微混合使底层仪表不变性被部分损坏，因为洛伦兹的物理不变性也破裂了。这可能会导致各种违反过程简要讨论其中一些过程。
We consider the lightlike spontaneous Lorentz invariance violation (SLIV) appearing through the zero "length-fixing" constraint put on a gauge vector field, $A_{μ}A^{μ}=0$, and discuss its physical consequences in the framework of a conventional QED and beyond. Again, as in the timelike and spacelike SLIV cases, $A_{μ}A^{μ}=\pm M_{A}^{2}$ ($M_{A}$ is a scale of SLIV), while this constraint leads to an emergence of the Nambu-Goldstone modes collected in physical photon, the SLIV itself is still left unobservable unless gauge invariance in the theory is broken. At the same time, a crucial difference with the two former cases is that the asymmetrical vacuum corresponding to the lightlike Lorentz violation appears infinitely degenerated with all other vacua including the symmetrical one. We show that this degeneracy can be lifted out by introducing an extra gauge vector field being sterile with respect to an ordinary matter, though having some potential couplings with the basic $A_{μ}$ field. A slight mixing of them makes the underlying gauge invariance to be partially broken due to which physical Lorentz invariance occurs broken as well. This may cause a variety of the Lorentz violating processes some of which are briefly discussed.
