关于电弱族问题、涨落三膜与广义协方差的关系
On Relations Between Electroweak Hierarchy Problem, Fluctuating Three Branes And General Covariance
摘要：
我们询问是否解决电弱层次问题可以驻留在对称性，涉及玻色子温伯格-萨拉姆拉格朗日与高维一般协变理论。对于这一点，我们考虑一个三膜的影响下移动的七维纯希尔伯特爱因斯坦一般协变理论。我们引入了一个变量的变化，结合了共形尺度的度规张量与膜的波动，使共形尺度成为模和波动成为角场度的自由极化分解希格斯。当我们假设一般协变理论的四维时空背景是局部共形平坦的，内部空间是一个被压扁的三球时，我们得到了一个无质量和三个有质量的矢量场，类似于温伯格-萨拉姆模型中的矢量场，并且恢复了对称破缺玻色子温伯格-萨拉姆模型的所有熟悉成分，除了没有裸露的希格斯质量。希格斯粒子的质量受到维度的限制，它的存在被广义协变性所禁止。这表明，解决电弱层次问题可能存在于更高的维度，在一个沃德-高桥一样的身份一般协方差，涉及一个非零希格斯质量的动力学打破一般协方差。此外，两种电弱规范耦合都是由内部三球的挤压参数决定的，当我们施加矢量玻色子质量必须符合保管对称性的条件时，我们得到经典水平的温伯格角sin ^2 θ_W = 0.296。
英文摘要：
We inquire whether a resolution to the electroweak hierarchy problem could reside in symmetries that relate the bosonic Weinberg-Salam Lagrangian with a higher dimensional generally covariant theory. For this we consider a three-brane that moves under the influence of a seven dimensional pure Hilbert Einstein-like generally covariant theory. We introduce a change of variables that combines the conformal scale of the metric tensor with the brane fluctuations, so that the conformal scale becomes the modulus and the fluctuations become the angular field degrees of freedom of a polarly decomposed Higgs. When we assume that the four dimensional space-time background of the generally covariant theory is locally conformally flat and that the internal space is a squashed three-sphere, we arrive at one massless and three massive vector fields akin those in the Weinberg-Salam model and recover all the familiar ingredients of the symmetry broken bosonic Weinberg-Salam model, except that there is no bare Higgs mass. The Higgs mass is subject to dimensional censorship, its presence is forbidden by general covariance. This proposes that a resolution to the electroweak hierarchy problem might well reside in higher dimensions, in a Ward-Takahashi like identities for general covariance that relate a non-vanishing Higgs mass to dynamical breaking of general covariance. Moreover, the two electroweak gauge couplings are both determined by the squashing parameter of the internal three sphere and when we impose the condition that the vector boson masses must be in line with custodial symmetry we arrive at the classical level to the Weinberg angle sin^2 θ_W = 0.296.
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。
