手征QCD2模型的有效拉氏量和质量生成

利用路径积分方法,研究了(1+1)维带γ₅耦合的规范理论。通过进行一非阿贝耳手征变量变换和选择更一般的正规化算子,精确解出了费密子行列式,证明了理论中可以存在玻色子的质量生成机制。除了一质量项外,得到的解也包含有一规范化的Wess-Zumino-Witten反常作用量泛函和一些别的非定域项。 关键词：

EFFECTIVE LAGRANGIAN AND MASS GENERATION OF THE CHIRAL QCD2 MODEL

We have studied (l+l)-dimensional gauge theory with the chiral fermions using the path-integral approach. Performing a non-abelian chiral change of variables and choosing a more general regularization operator, we get the exact solution of the fermion determinant. We also show that there can exist a mass generation in the theory for the vector bosons. Apart from a mass term, the solution contains a gauged Wess-Zumino-Witten anomaly functional and some other non-local terms.