论文标题
不稳定的量子场理论是否应该是洛伦兹不变的？
Should Unstable Quantum Field Theories be Lorentz Invariant?
论文作者
论文摘要
当我们在不稳定状态附近的相互作用场理论的方程线性线性线性上，我们获得了一个不稳定的场理论。当田野坐在墨西哥帽子的顶部时，采用这种理论来建模自发对称性破裂的开始，然后它们开始“向下滚动”到底部。目前，没有严格的证据证明不稳定的量子场理论是洛伦兹不变的（从wigner的定理意义上）。在这里，我们表明他们不应该。实际上，不稳定的理论始终具有有限的适用性，并且它们仅在很短的时间内有效。结果，存在一个首选的同时超平面，无处不在，不稳定的理论无处不在，而通用观察者（其四效率与这种超平面不是正交的）必须使用完整的非线性理论。总而言之：当前的量化方案是“确定”，与它们是否导致洛伦兹不变理论无关。
An unstable field theory is what we obtain when we linearise the equations of an interacting field theory near an unstable state. Theories of this kind are adopted to model the onset of spontaneous symmetry breakings, when the fields are sitting on the top of the Mexican hat, and they start to ''roll down'' to the bottom. At present, there exists no rigorous proof that unstable quantum field theories are Lorentz-invariant (in the sense of Wigner's theorem). Here, we show that they shouldn't be. In fact, unstable theories always have a limited regime of applicability, and they are valid only for a very short time. As consequence, there is a preferred simultaneity hyperplane, along which the unstable theory is everywhere applicable, while a generic observer (whose four-velocity is not orthogonal to such hyperplane) must use the full non-linear theory. In summary: the current quantization schemes are ''ok'', independently from whether they lead to a Lorentz-invariant theory.
