摘要
本文在群G的空间拓扑性质为非平凡的情形及群G是手征群的情形建立了陪集空间纯规范场的点阵形式,给出了层子体系在四维欧氏空间点阵上定域规范不变且具有通常连续极限的作用量.对于非手征群且空间拓扑性质平凡的情形,在明显保留陪集纯规范场时,通过点阵上流一流传播子的计算,证明了陪集纯规范场对体系的禁闭性质没有影响.
In this paper we construct a lattice formulation of the pure gauge fields on a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a fourdimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the quark system by calculating lattice current-current propagator when the coset pure gauge fields remain manifest.
