论文标题
自发损坏的提升和金石连续体
Spontaneously broken boosts and the Goldstone continuum
论文作者
论文摘要
增强不变性的自发破裂本质上是普遍存在的，但相关的戈德斯通玻色子无处可见。我们讨论为什么在戈德石现象中期望一些微妙的升高，并得出相应的量子机械，非扰动金石定理。尽管与更标准的金石定理相似，但我们通过示例表明，我们的低能量激发光谱可以遵守我们的巨型。特别是，对于非相关的费米液体，我们证明它是由粒子连续体遵守的。据我们所知，这是连续体遵守的金石定理的第一个例子，而不是（近似稳定的）单粒子金石玻色子状态。
The spontaneous breaking of boost invariance is ubiquitous in nature, yet the associated Goldstone bosons are nowhere to be seen. We discuss why some subtleties are to be expected in the Goldstone phenomenon for spontaneously broken boosts, and derive the corresponding quantum mechanical, non-perturbative Goldstone theorem. Despite similarities with more standard Goldstone theorems, we show by examples that ours can be obeyed by quite unusual spectra of low-energy excitations. In particular, for non-relativistic Fermi liquids, we prove that it is obeyed by the particle-hole continuum. To the best of our knowledge, this is the first example of a Goldstone theorem obeyed by a continuum rather than by (approximately stable) single-particle Goldstone boson states.
