Supersymmetric Composite Models in the Early Stage of the Universe

超对称性是基本粒子统一场论的重要组成部分。我们试图在超对称版的复合希格斯模型中研究早期宇宙的情景，得到了以下结果。我们研究了早期宇宙环境下超对称复合希格斯模型的相结构。发现由于软超对称性破缺项导致的手性对称性破坏在适当的高温下得以恢复，对称性恢复以一阶相变形式发生。该结果的宇宙学意义与暴胀时期宇宙弦的产生有关。为了了解复合材料模型的本质特征，我们利用Schwinger-Dyson方程研究了有限温度下规范理论的相结构。我们得到了N味费米子规范理论的临界点和临界指数。非摄动方法对于研究高温真空冷凝模型的现象学结果是必要的。各向异性晶格是研究有限温度下QCD非微扰效应的有效方法。我们发现该技术在重夸克物理中也很有用，并且各向异性晶格的系统不确定性得到了控制。我们将施温格-戴森方程应用于高维规范理论，看看对标准模型粒子有什么影响。发现额外维度空间的存在增加了费米子质量的动力学生成。研究了高能尺度下产生轻子数不对称的CP违逆。我们得到了高能CP违和与低能实验的关系。我们评估了用强引力透镜系统探测暗能量的可行性。我们从引力透镜系统中确定所需的数据质量。

The supersymmetry is an essential ingredient of unified field theories for elementary particles. We tried to study the scenario of the early universe in supersymmetric version of composite Higgs models and obtained the following results.1. We investigated the phase structure of the supersymmetric composite Higgs models under the circumstances of the early universe. It is found that the broken chiral symmetry due to the soft SUSY breaking term is restored at suitably high temperature and the symmetry restoration occurs as first-order phase transitions. Cosmological implications of the result are discussed in connection with the creation of cosmic strings during the inflationary era.2. To see the essential feature of the composite models we studied the phase structure of a gauge theory at finite temperature by using the Schwinger-Dyson equation. We obtained the critical point and the critical exponents of the gauge theory with N flavor fermions.3. Non-perturvative approaches are necessary to study phenomenological consequences of models with vacuum condensation at high temperature. The anisotropic lattice is useful technique to study the non-perturbative effect in QCD at finite temperature. We found that the technique is also useful in heavy quark physics and the systematic uncertainty on the anisotropic lattice is under control.4. We apply the Schwinger-Dyson equation to higher dimensional gauge theories and see what influences could be observed on the standard model particles. It is found that an existence of the extra-dimensional space increases the dynamical generation of fermion masses.5. We investigated CP violation generating lepton number asymmetry at high energy scale. We obtained how CP violation at high energy can be related to low energy experiments.6. We assess the feasibility of probing dark enery with strong gravitational lensing systems. We determine the required quality of data from the gravitational lensing systems.