论文标题
从主动的局部测量中检索杨 - 米尔斯 - 木 - 木田领域
Retrieving Yang--Mills--Higgs fields in Minkowski space from active local measurements
论文作者
论文摘要
我们表明，我们可以从Minkowski Space $ \ Mathbb {r}^{1+3} $中的经典Yang-mills-higgs方程中检索YANG-MILLS的潜力和Higgs电位（直至量表）。我们将自然的非分类条件强加于希格斯字段的表示和结构组的谎言代数，这些条件满足了标准模型的情况。我们的方法利用了由Lie代数中心的源产生的波生成的波的非线性相互作用，表明可以有效地使用Abelian组件来恢复Higgs字段。
We show that we can retrieve a Yang--Mills potential and a Higgs field (up to gauge) from source-to-solution type data associated with the classical Yang--Mills--Higgs equations in Minkowski space $\mathbb{R}^{1+3}$. We impose natural non-degeneracy conditions on the representation for the Higgs field and on the Lie algebra of the structure group which are satisfied for the case of the Standard Model. Our approach exploits the non-linear interaction of waves generated by sources with values in the centre of the Lie algebra showing that abelian components can be used effectively to recover the Higgs field.
