非交换希格斯模型：为渐近自由铺平道路
Nonabelian Higgs models: paving the way for asymptotic freedom
摘要：
在非交换Higgs模型中，借助于对重整化作用量施加的广义边界条件，可以构造出渐近自由的重整化群轨迹.我们详细的语言内的简单的低阶微扰论，有效场论，以及现代功能的重整化群方程的建设。我们构造了一个家庭的显式标度解使用受控的弱耦合展开在紫外线，并获得一个标准的威尔逊RG相关分类的扰动标度解。通过解析渐近展开和数值打靶方法，我们得到了标量势的拟固定函数的全局信息。这种渐近自由理论的进一步分析证据提供了在大N极限。我们估计这些理论的长程性质，并确定初始/边界条件引起的常规希格斯相。
英文摘要：
Asymptotically free renormalization group trajectories can be constructed in nonabelian Higgs models with the aid of generalized boundary conditions imposed on the renormalized action. We detail this construction within the languages of simple low-order perturbation theory, effective field theory, as well as modern functional renormalization group equations. We construct a family of explicit scaling solutions using a controlled weak-coupling expansion in the ultraviolet, and obtain a standard Wilsonian RG relevance classification of perturbations about scaling solutions. We obtain global information about the quasi-fixed function for the scalar potential by means of analytic asymptotic expansions and numerical shooting methods. Further analytical evidence for such asymptotically free theories is provided in the large-N limit. We estimate the long-range properties of these theories, and identify initial/boundary conditions giving rise to a conventional Higgs phase.
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