论文标题
通过降低诱导Chern-Simons项
Induced Chern-Simons term by dimensional reduction
论文作者
论文摘要
我们通过从具有矢量和轴向矢量耦合的狄拉克场的有限温度理论降低到两个Abelian Gauge场，在2+1维中得出了一个诱导的Abelian Chern-Simons（CS）项，在3+1个维度中。在我们的构造中，在轴向矢量场处于“真空”配置的假设下，CS项以矢量Abelian场的最低Matsubara模式出现。该配置的特征是单个数字，该数字又决定了Abelian Vector Field的诱导CS项的系数。
We derive an induced Abelian Chern-Simons (CS) term in 2+1 dimensions, by dimensional reduction from the finite-temperature theory of a Dirac field with both vector and axial-vector couplings to two Abelian gauge fields, in 3+1 dimensions. In our construction, the CS term emerges for the lowest Matsubara mode of the vector Abelian field, by integrating the fermionic field, under the assumption that the axial vector field is in a "vacuum" configuration. This configuration is characterized by a single number, which in turn determines the coefficient of the induced CS term for the Abelian vector field.
