不含Higgs机制的Yang-Mills理论中的质量规范玻色子
Massive Gauge Bosons in Yang-Mills Theory without Higgs Mechanism
摘要：
利用质量本征态和非质量本征态的概念，得到了两种杨-米尔斯场。第一类杨-米尔斯场是由杨和米尔斯提出的，它耦合到具有相同静质量的质量本征态，其规范玻色子是无质量的。发现了第二类杨-米尔斯场，它们构造在五维流形上。只有非质量本征态耦合到第二类杨-米尔斯场，第二类杨-米尔斯场也是非质量本征态，由规范玻色子的质量本征态组成。第二类杨-米尔斯场的质量本征态存在于四维时空中，相应的规范玻色子可能是有质量的。研究了SU（2）\times U（1）第二类规范场，其规范玻色子是W^{ \pm }，Z^{0}和光子场，它们是质量本征态.计算得到的W^{ \pm }和Z^{0}的静止质量与由电弱相互作用的Glashow-Salam-Weinberg模型给出的结果一致。讨论了该模型应是可重正化的。
英文摘要：
Two kinds of Yang-Mills fields are found upon the concepts of mass eigenstate and nonmass eigenstate. The Yang-Mills fields of the first kind were proposed by Yang and Mills, which couple to the mass eigenstates with the same rest mass, whose gauge bosons are massless. I find that there are second kind of Yang-Mills fields, which are constructed on a five-dimensional manifold. Only the nonmass eigenstates couple to the Yang-Mills fields of the second kind, which are the nonmass eigenstates as well and composed of mass eigenstates of gauge bosons. The mass eigenstates of the Yang-Mills fields of the second kind live in the four-dimensional spacetime, the corresponding gauge bosons of which may be massive. The SU(2)\times U(1) gauge fields of the second kind are studied carefully, whose gauge bosons, which are the mass eigenstates, are the W^{\pm}, Z^{0} and photon fields. The rest masses of W^{\pm} and Z^{0} obtained are the same as that given by the Glashow-Salam-Weinberg model of electroweak interactions. It is discussed that this model should be renormalizable.
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