1+1维非线性σ模型的BRST变换的等价性和Ward恒等式

BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model

在依据Dirac约束规范理论和作推广后的条件下 ,导出了规范生成元 ,推导出了 1+1维O(3)非线性σ模型的一般条件 (β≠ 0 )下的BRST变换 ,给出了其BRST变换与Dirac规范变换的等价关系 ,得到了鬼场的新的一般对易关系 ,且其一般参数 β为零时就回到通常的鬼场的对易关系 .并由规范生成元导出了BRST荷 ,进而完成了此模型的一种BRST量子化 .还在此基础上进一步导出了此系统的Green函数生成泛函、连通Green函数生成泛函和正规顶角生成泛函 ,获得了

According to the Dirac constraint theory and the extended gauge condition, the gauge generators and the BRST transformation of (1+1) dimension O(3) non-linear model under the new general condition have been deduced. A new general commutation relation of ghost field, the BRST charge from gauge generator is obtained and a kind of BRST quantization of the model is completed, on these bases, then the generating functionals of Green function, connecting Green function and proper vertex are also deduced and finally three kinds of Ward identities of this model are acquired.