标题： 三维的质量产生 显示英文标题

标题： Mass Generation in Three Dimensions

摘要： 我研究了三维杨-米尔斯-希格斯系统在对称破缺相中的稀疏单极子气体展开。这种展开中出现的泛函行列式在任意$SU(N)$规范群的情况下用热核近似法计算。对于$SU(2)$规范模型，得到了规范玻色子质量在未破裂规范扇区和弦张力的显式表达式，并进行了数值评估。结果显示对$m_{\rm Higgs}/m_W$的比值有很强的依赖性。 显示英文摘要

摘要： I consider the dilute monopole gas expansion of the three dimensional Yang-Mills-Higgs system in the symmetry broken phase. The functional determinants which occur in such an expansion are computed in the heat kernel approximation for an arbitrary $SU(N)$ gauge group. Explicit expressions for the gauge boson mass in the unbroken gauge sector and the string tension are obtained for the $SU(2)$ gauge model and are evaluated numerically. The results show a strong dependence on the ratio $m_{\rm Higgs}/m_W$.