We find that if the vacuum state | 0 > in their paper is replaced by any state vector their construction still works . we notice that if the state vector has some s 我们注意到，在他的构造中，如果适当要求态矢量}价>的对称性质，那么构造的投影算子就是不可对易orb而ld尸/ g投影算子。
Chiral anomaly in noncommutative field theory renewed the physist ' s interest in the past years . we mainly study the chiral anomaly of two dimensional non - commutative chiral qcd2 model using fujikawa ' s path integral approach 我们以二维非对易空间的手征qcd _ 2模型为例讨论了非对易规范理论中的手征反常问题。
Legibility research was published from the late nineteenth century on , but the overall finding has been that the reading process is remarkably robust , and that significant differences are hard to find 虽然对易读性的研究在19世纪晚期就已经发布，但普遍的共识是：人的阅读过程惊人的强悍，以至于几乎没什么明显的区别。
The moment map of this twisted cotangent sun ( t ) bundle is matched to the d - equation with fayet - illiopoulos source term , so the dynamics of the noncommutative solitons becomes that of the brane 我们由此扭曲的su _ n ( t )余切丛的momentmap给出了有fayt - illiopoulos源的d -方程，由此非对易孤立子的动力学就变成brane的动力学。
Boca further described the projection operators on orbifold t2 / g and discussed the relation between their trace and the commutator q of the operators u and v on noncommutative torus ( uv = vt / e2 ) Boca进一步在理论上论证不可对易orbifoldtz / g投影算子的存在性，讨论了它们的迹与不可对易torus上的平移算子u和v的对易因子q的关系。
