论文标题
近距离电荷的近距离动力学
Near-Schrödinger dynamics at large charge
论文作者
论文摘要
在本说明中，我们讨论了一个在Schrödinger对称性的政权中，通过对Dilaton场的明确质量项略微打破了一个非相关的系统，该系统略微打破了Dilaton场，该质量术语非线性地实现了非偏见的规模不变性。为了到达那里，我们首先从线性Sigma模型的角度开发了大型形式主义，包括非相关状态经营者对应的谐波捕获潜力。作为显式破裂的签名，我们确定了$ \ sqrt {q} \ log {q} $项，取决于空间维度的顺序与粒子云边缘的eft崩溃所产生的效果的顺序相同，或者可以与大量范围的大量范围的效果区分开。
In this note we discuss a non-relativistic system at large charge in a regime where Schrödinger symmetry is slightly broken by an explicit mass term for the dilaton field which non-linearly realizes non-relativistic scale invariance. To get there, we first develop the large-charge formalism from the linear sigma model perspective, including the harmonic trapping potential necessary for the non-relativistic state-operator correspondence. As a signature of the explicit breaking, we identify a $\sqrt{Q}\log{Q}$ term, which depending on the space dimension is either of the same order as the effects coming from the breakdown of the EFT at the edge of the particle cloud, or can be distinguished from these effects over a large range of orders of magnitude.
