论文标题
量化Yang-Mills理论中反BRST对称的几何形状和拓扑结构
Geometry and Topology of Anti-BRST Symmetry in Quantized Yang-Mills Gauge Theories
论文作者
论文摘要
在nakanishi-lautrup场的情况下，制定了BRST和抗Brst结构的整个几何配方。结果表明，在Faddeev-Popov量化方法中，以量规固定机制的一般形式，抗Bibrst不变性彻底反映了Yang-Mills理论相对于规范固定方法的经典对称性。 Nakanishi-lautrup字段也被定义为几何对象。这种表述有助于我们引入量化Yang-Mills理论的两个绝对新的拓扑不变式，即Nakanishi-Lautrup不变性。还研究了抗BRST对称的辅助结构，并因此得出了反BRST拓扑指数。
The entire geometric formulations of the BRST and the anti-BRST structures are worked out in presence of the Nakanishi-Lautrup field. It is shown that in the general form of gauge fixing mechanisms within the Faddeev-Popov quantization approach, the antiBRST invariance reflects thoroughly the classical symmetry of the Yang-Mills theories with respect to gauge fixing methods. The Nakanishi-Lautrup field is also defined and worked out as a geometric object. This formulation helps us to introduce two absolutely new topological invariants of quantized Yang-Mills theories, so called the Nakanishi-Lautrup invariants. The cohomological structure of the anti-BRST symmetry is also studied and the anti-BRST topological index is derived accordingly.
