Research on the chiral phase transition and hadron properties in QCD at finite temperature and density

1.基于矢量表示的分析，我提出了矢量表示，在热的和/或稠密的QCD中，在手征相变点附近，π和p介子成为手征伙伴。我进行了以下分析，以实验方式测试VM。(1)我表明，基于VM的模型再现了新发现的D介子的质量。(2)在VM的基础上，研究了包含矢量优势破坏效应的双轻子谱。证明了预测的谱比矢量占优模型的谱要小.一种新的包含π、p和a_1介子的有效场论的构造我构造了一种新的有效场论，它除了包含π和p介子外，还包含a_1介子。证明了在手性相变点附近p和a_1的质量都变轻.在AdS/QCD模型中引入系统修正的方法的建议我提出了在AdS/QCD模型中引入系统修正的方法。我证明了预测很好地再现了实验。4.φ介子的辐射衰变分析为了在手征相变点附近建立一个新的有效的标量介子模型，需要澄清实际QCD中标量介子的性质。对φ辐射衰变进行了分析，结果表明，本文模型的预测效果优于其他模型.大味QCDI中手征相变的分析利用Schwinger-Dyson方程和Bethe-Salpeter方程对大味QCD进行了分析。我首先证明了在现实生活中QCD中π^+和π^0之间的质量差。然后，我证明了在大味QCD的手征相变点附近质量差增加。

1. Analysis based on the vector manifestation (VM)I proposed the VM, in which the π and p meson becomes the chiral partner near the chiral phase transition point in hot and/or dense QCD. I performed the following analyses to test the VM experimentally.(1) I showed that the model based on the VM reproduces the mass of newly found D meson.(2) Based on the VM, I studied the dilepton spectrum including the effect of violation of vector dominance. I showed that the predicted spectrum is smaller than the one by the model with the vector dominance.2. Construction of new effective field theory (EFT) including π, p and a_1 mesonsI constructed a new EFT which includes the a_1 meson in addition to π and p mesons. I showed that both masses of p and a_1become light near the chiral phase transition point.3. Proposal of a way for including systematic corrections in an AdS/QCD modelI proposed a way for including systematic corrections in a AdS/QCD mode. I showed that the prediction well reproduces the experiment.4. Analysis on the radiative decays of φ mesonIt is needed to clarify properties of scalar mesons in true-life QCD to construct a new effective model with scalar mesons near the chiral phase transition point. I made an analysis on the φ radiative decays, and showed that the prediction of our model is better than other models.5. Analysis on the chiral phase transition in large flavor QCDI performed an analysis of the large flavor QCD using the Schwinger-Dyson equation and the Bethe-Salpeter equation. I first showed that the mass difference between π^+ and π^0 in real-life QCD. Then, I showed that the mass difference is increased near the chiral phase transition point of large flavor QCD.