arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 2303.02178hep-th
收藏

Goldstone玻色子与凸性

Goldstone Bosons and Convexity

Domenico Orlando, Eran Palti

备注：
44 pages
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

研究了具有$U(1)$整体对称性的共形场论中标量荷电算符的谱。带电算子是对偶的，通过状态算子对应，到球上的均匀带电状态。这样的状态可以打破$U(1)$对称性，我们定义我们所谓的大$f$政权在CFT作为一个对称性破缺规模远远高于CFT领域的规模。在这样一种状态下，有（一个近似的）戈德斯通玻色子与断裂有关。我们表明，戈德斯通玻色子物理的一致性意味着频谱的国家，因此运营商，必须是凸的收费。更确切地说，我们表明，任何家庭的运营商的不同的费用，这是最低维的收费，并另外分享相同的实现戈德斯通玻色子的自由度的CFT，必须是凸的。

英文摘要：

We study the spectrum of scalar charged operators in Conformal Field Theories (CFTs) with a $U(1)$ global symmetry. The charged operators are dual, by the state-operator correspondence, to homogenous charged states on the sphere. Such states can break the $U(1)$ symmetry, and we define what we call the large $f$ regime in the CFT as one where the symmetry breaking scale is much higher than the scale of the CFT sphere. In such a regime, there is (an approximate) Goldstone boson associated to the breaking. We show that consistency of the Goldstone boson physics implies that the spectrum of states, and therefore of operators, must be convex in charge. More precisely, we show that any family of operators of different charges, which are lowest dimension of their charge, and which additionally share the same realisation of the Goldstone boson in terms of the degrees of freedom of the CFT, must be convex.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑