Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O($n$) Symmetric $(phi^{6}$ in Three-Dimensions) Theory
Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O($n$) Symmetric $(phi^{6}$ in Three-Dimensions) Theory
复制标题
O($n$)对称$(三维中的phi^{6}$)理论中尺度不变性和紫外不动点的自发破缺
DOI：
--
复制
发表时间：
1984
期刊：
影响因子：
--
通讯作者：
M. Bander
中科院分区：
文献类型：
--
作者：
W. Bardeen;M. Moshe;M. Bander
在大N下，etaphi/sup 6/理论具有一个非平凡的紫外不动点。发现了一个新的相，其中渐近标度不变性自发地被打破，并且通过维形变产生了一个动力学质量。在三临界极限下，精确标度不变性的自发破缺导致无质量复合Goldstone模--伸缩子的形成。我们将这些结果与标准的1/N展开进行了比较，并强调了这些现象的非微扰性质。
At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading N results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard 1/N expansion and emphasize the nonperturbative nature of these phenomena.