arXiv 1609.003502016-09gr-qcastro-ph.COhep-phhep-th

扩展Brans-Dicke理论的Higgs势和基本常数的时间演化

Higgs potential from extended Brans-Dicke theory and the time-evolution of the fundamental constants

Joan Sola, Elahe Karimkhani, A. Khodam-Mohammadi

备注：: Version accepted in Class.Quant.Grav. Extended discussion, references added
发表信息：: Class.Quant.Grav. 34 (2017) no.2, 025006
DOI：: 10.1088/1361-6382/34/2/025006

摘要：

尽管希格斯势在电弱相互作用的标准模型和大统一理论中具有巨大的意义，但它的最终起源从根本上说是未知的，必须根据基本的规范对称性和可重整性的要求手工引入。在这里，我们提出了一个更多的物理动机的希格斯势的结构，我们链接到重力，更具体地说，一个扩展的Brans-Dicke（BD）理论包含两个相互作用的标量场。这些领域之一是耦合到曲率的BD制定，而另一个耦合到重力的导数和非导数通过曲率标量和里奇张量。通过要求模型的宇宙学解与观测值一致，我们证明了有效标量场势采用了具有温和随时间演化的真空期望值的Higgs势形式.这种残余真空动力学可能是基本常数随时间变化的原因。这种方法在某种程度上让人想起了比约肯关于宇宙学常数问题的想法。

英文摘要：

Despite the enormous significance of the Higgs potential in the context of the Standard Model of electroweak interactions and in Grand Unified Theories, its ultimate origin is fundamentally unknown and must be introduced by hand in accordance with the underlying gauge symmetry and the requirement of renormalizability. Here we propose a more physical motivation for the structure of the Higgs potential, which we link to gravity, and more specifically to an extended Brans-Dicke (BD) theory containing two interacting scalar fields. One of these fields is coupled to curvature as in the BD formulation, whereas the other is coupled to gravity both derivatively and non-derivatively through the curvature scalar and the Ricci tensor. By requiring that the cosmological solutions of the model are consistent with observations, we show that the effective scalar field potential adopts the Higgs potential form with a mildly time-evolving vacuum expectation value. Such residual vacuum dynamics could be responsible for the possible time variation of the fundamental constants. The approach is in part reminiscent of Bjorken's ideas on the cosmological constant problem.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文