Higgs mechanism near the 5d bulk phase transition

Higgs mechanism near the 5d bulk phase transition
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5d 体相变附近的希格斯机制

DOI:
10.1016/j.physletb.2013.04.032
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发表时间:
2013
期刊:
影响因子:
4.4
通讯作者:
K. Yoneyama
K. Yoneyama
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Irges;F. Knechtli;K. Yoneyama

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我们提出了一个规范-希格斯统一的非微扰模型。我们考虑了一个五维纯SU(2)规范理论,它的边界条件是沿第五维的,使得对称性在不动点处被约化为U(1)。四维边界超平面上的谱除了U(1)规范玻色子外,还包括一个复标量,被解释为标准模型希格斯场的简化版本。规范理论定义在欧几里得格子上,格子在额外维度上是各向异性的。使用表示标量的边界威尔逊回路和表示平均场背景周围涨落的可见量,我们表明:a)在体相变附近,模型倾向于在维度上简化为四维规范标量理论,b)由于沿第五维的平移不变性的破坏,边界U(1)规范对称性自发地破裂,c)可以在相图上构造重整化轨迹,沿着该重整化轨迹,随着晶格间距的变化,希格斯质量是恒定的,d)通过在各向异性参数很小的区域中采取连续极限,有可能预测质量在1TeV左右的Z‘态的存在。
We present a non-perturbative model of Gauge-Higgs Unification. We consider a five-dimensional pure SU(2) gauge theory with orbifold boundary conditions along the fifth dimension, such that the symmetry is reduced to U(1) at the fixed points of the orbifold action. The spectrum on the four-dimensional boundary hyperplanes includes, apart from the U(1) gauge boson, also a complex scalar, interpreted as a simplified version of the Standard Model Higgs field. The gauge theory is defined on a Euclidean lattice which is anisotropic in the extra dimension. Using the boundary Wilson Loop and the observable that represents the scalar and in the context of an expansion in fluctuations around a Mean-Field background, we show that a) near the bulk phase transition the model tends to reduce dimensionally to a four-dimensional gauge-scalar theory, b) the boundary U(1) gauge symmetry breaks spontaneously due to the broken translational invariance along the fifth dimension, c) it is possible to construct renormalized trajectories on the phase diagram along which the Higgs mass is constant as the lattice spacing is varied, d) by taking a continuum limit in the regime where the anisotropy parameter is small, it is possible to predict the existence of a Z′state with a mass around 1 TeV.
来自晶格的新希格斯机制
DOI: 10.1088/1742-6596/110/10/102006
发表时间: 2007
期刊: arXiv: High Energy Physics - Phenomenology
影响因子: --
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