从主动局部测量找回闵科夫斯基空间的杨-米尔斯-希格斯场

IF 1.3 2区 数学 Q1 MATHEMATICS Mathematische Annalen Pub Date : 2024-08-30 DOI:10.1007/s00208-024-02980-z
Xi Chen, Matti Lassas, Lauri Oksanen, Gabriel P. Paternain
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引用次数: 0

摘要

我们证明,我们可以从与闵科夫斯基空间({\mathbb {R}}^{1+3}\ )中的经典杨-米尔斯-希格斯方程相关的源到解类型数据中获取杨-米尔斯势和希格斯场(直到规)。我们对希格斯场的表示和结构组的李代数施加了自然的非退化条件,这些条件在标准模型的情况下是满足的。我们的方法利用了由在李代数中心具有值的源所产生的波的非线性相互作用,显示了非线性成分可以有效地用于恢复希格斯场。
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Retrieving Yang–Mills–Higgs fields in Minkowski space from active local measurements

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.

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来源期刊
Mathematische Annalen
Mathematische Annalen 数学-数学
CiteScore
2.90
自引率
7.10%
发文量
181
审稿时长
4-8 weeks
期刊介绍: Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.
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