论文标题
基于Clifford代数及其规范理论解释
Bosonization based on Clifford algebras and its gauge theoretic interpretation
论文作者
论文摘要
我们研究了基于Clifford代数有价值的自由度，对任何维度的空间有效的琼脂化程序的性质。我们在$ \ mathbb {z} _2 $ gauge字段的存在下以fermions的形式介绍了其解释，这些字段满足了修改后的高斯定律，类似于Chern-Simons的理论。我们的实易处方涉及约束，这被解释为量规场的平坦条件。限制的解决方案是针对维度二的环形几何形状的。我们的模型与$（d-1）$ - form $ \ mathbb {z} _2 $ gauge理论之间的双重性是列出的，这阐明了此处采用的方法与最近提出的另一个持续图。
We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its interpretation in terms of fermions in presence of $\mathbb{Z}_2$ gauge fields satisfying a modified Gauss' law, resembling Chern-Simons-like theories. Our bosonization prescription involves constraints, which are interpreted as a flatness condition for the gauge field. Solution of the constraints is presented for toroidal geometries of dimension two. Duality between our model and $(d-1)$-form $\mathbb{Z}_2$ gauge theory is derived, which elucidates the relation between the approach taken here with another bosonization map proposed recently.
