论文标题
$ n $ field的量规参数化
Gauge parameterization of the $n$-field
论文作者
论文摘要
我们建议使用正交SO（3）-matrix对三维$ n $ field的量规参数化，而该字段依次通过在Lie代数SO（3）（3）（旋转 - 角度字段）中的字段定义。旋转角域具有额外的自由度，这对应于$ n $ field周围的旋转自由度。结果，我们获得了带有局部SO（2）= U（1）对称性的量规模型，该对称性不包含U（1）量规场。
We propose gauge parameterization of the three-dimensional $n$-field using orthogonal SO(3)-matrix which, in turn, is defined by a field taking values in the Lie algebra so(3) (rotational-angle field). The rotational-angle field has an additional degree of freedom, which corresponds to the gauge degree of freedom of rotations around the $n$-field. As a result, we obtain a gauge model with local SO(2)=U(1) symmetry that does not contain a U(1) gauge field.
