Origin of spontaneous symmetry breaking in theories with large extra dimensions
Origin of spontaneous symmetry breaking in theories with large extra dimensions
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大额外维理论中自发对称破缺的起源
DOI：
10.1103/physrevd.65.064021
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发表时间：
2001
影响因子：
5
通讯作者：
R. Tabbash
中科院分区：
文献类型：
--
作者：
G. Dvali;S. Randjbar;R. Tabbash
我们认为，电弱希格斯粒子可以确定与额外的维分量的规范场，在一定的拓扑非平凡的背景下紧化后，成为快子和凝聚。如果快子质量是树能级效应，则规范对称破缺的自然尺度由内部空间的半径的倒数决定，在电弱对称的情况下，它必须在$\sim 1/$TeV左右。我们讨论了一个消失的树级质量的希格斯玻色子的可能性。在这种情况下，快子质量可以由量子环诱导，并且可以自然地小于紧致化尺度。我们给出了一个例子，其中这种可能性可以实现。从耦合到10维费米子的Einstein-Yang-米尔斯理论出发，我们在${\mathbb {C}}P^1\times {\mathbb {C}}P^2$上进行紧化后，能够再现标准模型的光谱，如手征费米子和4维希格斯标量。在${\mathbb{C}}P^1$上存在一个U（1）解和在${\mathbb{C}}P^2$上存在一个自对偶U（1）瞬子是获得手征费米子以及四维快子或无质量标量的必要条件。我们给出了一个简单的规则，它可以帮助我们识别在S^2 $上的超光速背景中是否存在快子。
We suggest that the electroweak Higgs particles can be identified with extra-dimensional components of the gauge fields, which after compactification on a certain topologically non-trivial background become tachyonic and condense. If the tachyonic mass is a tree level effect, the natural scale of the gauge symmetry breaking is set by the inverse radius of the internal space, which, in case of the electroweak symmetry, must be around $\sim 1/$TeV. We discuss the possibility of a vanishing tree level mass for the Higgs. In such a scenario the tachyonic mass can be induced by quantum loops and can be naturally smaller than the compactification scale. We give an example in which this possibility can be realized. Starting from an Einstein--Yang--Mills theory coupled to fermions in 10-dimensions, we are able to reproduce the spectrum of the Standard Model like chiral fermions and Higgs type scalars in 4-dimensions upon compactifying on ${\mathbb{C}}P^1\times {\mathbb{C}}P^2$. The existence of a monopole solution on ${\mathbb{C}}P^1$ and a self dual U(1) instanton on ${\mathbb{C}}P^2$ are essential in obtaining chiral fermions as well as tachyonic or massless scalars in 4-dimensions. We give a simple rule which helps us to identify the presence of tachyons on the monopole background on $S^2$.