论文标题
基于Dyson-Schwinger方程的风味变化研究
A Flavor Change Study based on Dyson-Schwinger Equation
论文作者
论文摘要
我们使用多品味系统中的Dyson-Schwinger（DS）方程来研究风味变化效果。通过将电动互动作为扰动中的条件， $ \ text {su（4）} _ \ text {l} \ rightarrow \ text {su（2）} _ \ text {l} \ otimes \ text {su（2 ）} _ \ text {l} \ rightArrow \ text {so（2）} _ \ text {l} \ otimes \ text {so（2）} _ \ text {l} $研究对称断裂链。在这种对称性破裂模式下，费米子质量被拆分，我们可以将不同质量的费米斯视为不同的世代。然后给出夸克质量谱。同时，总共有15枚金石，但其中只有四个是独立的。金石的电荷分别为$ 0 $，$ 0 $，$+1 $，$ -1 $。其中一个变成了伪-Nambu-goldstone玻色子（PNGB），并因电动互动扰动而获得质量。它可以识别为希格斯玻色子。其他三个金石可以保持无质量，并将被量规玻色子食用，以通过Schwinger机制给出$ W^\ pm $和$ Z^0 $ Masses。因此，金石可以扮演希格斯玻色子的角色。
We study the flavor change effects using the Dyson-Schwinger (DS) equation in a multi-flavor system. By taking the Electroweak interaction as perturbation into conditions, the $\text{SU(4)}_\text{L}\rightarrow\text{SU(2)}_\text{L}\otimes\text{SU(2)}_\text{L}\rightarrow\text{SO(2)}_\text{L}\otimes\text{SO(2)}_\text{L}$ symmetry breaking chain is studied. Under this symmetry breaking pattern fermion masses are split, and we can identify the fermions with different masses as different generations. Quark mass spectrum is then given. Meanwhile, there are a total of fifteen Goldstones but only four of them are independent. The Goldstones have electric charges $0$, $0$, $+1$, $-1$, respectively. One of them becomes pseudo-Nambu-Goldstone boson (pNGB) and gains a mass due to the Electroweak interaction perturbation. It can be identified as the Higgs boson. The other three Goldstones maintain massless and will be eaten by gauge bosons to give $W^\pm$ and $Z^0$ masses via Schwinger mechanism. Thus, the Goldstones can take the role of the Higgs boson.
