静态球对称的含费米子与引力的电弱模型
Static spherically symmetric electroweak models with fermions and gravity
浏览论文内容
中文总结 AI 辅助
本文系统约化SU(2)×U(1)规范理论耦合引力至静态球对称，推导爱因斯坦-杨-米尔斯-希格斯-狄拉克-汤川方程的最一般ansatz，并附C++开源求解器以处理大规模常微分方程组。
中文摘要 AI 辅助
在本文中，我们对结构群为SU(2)×U(1)的（经典）规范理论模型与引力耦合的情况，进行了向静态球对称的系统性约化。特别地，我们推导了爱因斯坦-杨-米尔斯-希格斯-狄拉克-汤川方程组最一般的静态球对称ansatz。该模型类似于与引力耦合的标准模型轻子扇区。由此得到的常微分方程组总规模相当大，因此寻找全局解并非易事。为此，本文随附了一个用C++编写的开源交互式求解器图形界面。
英文摘要
In this article we provide a systematic reduction to static spherical symmetry for (classical) gauge theoretic models with structure group SU(2) x U(1), coupled to gravity. In particular, we derive the most general static spherically symmetric ansatz for the Einstein-Yang- Mills-Higgs-Dirac-Yukawa equation system. This model is reminiscent of the lepton sector of the Standard Model coupled to gravity. The resulting total system of ordinary differential equations is rather large, so that finding global solutions is non-trivial. For this reason, an open-source interactive solver GUI written in C++ is provided together with the article.
发表机构
- University of Vienna（维也纳大学）
机构由 AI 辅助整理，请以论文原文为准。
