标题： 非相对论性Chern-Simons理论中的辐射校正 显示英文标题

标题： Radiative Corrections in Nonrelativistic Chern-Simons Theory

摘要： 我们给出了超对称非相对论自相互作用物质场与阿贝尔Chern-Simons规范场耦合的$N=2$标量场的一圈有效势，并且对于当玻色子物质场与非阿贝尔Chern-Simons场耦合时的推广情形也进行了计算。在这两个模型中，高斯定律线性地将磁场与物质场密度联系起来；因此，我们也包含了来自背景规范场的辐射效应。我们在两种规范族下计算了标量场的有效势，一种规范类似于极限$\xi\rightarrow 0$下的$R_\xi$规范，另一种是在库仑族规范下。我们用算符正则化和截断来正则化理论，以证明结果独立于正则化方案。 显示英文摘要

摘要： We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are coupled to non-Abelian Chern-Simons field. In both models, Gauss's law linearly relates the magnetic field to the matter field densities; hence, we also include radiative effects from the background gauge field. We compute the scalar field effective potentials in two gauge families, a gauge reminiscent of the $R_\xi$-gauge in the limit $\xi\rightarrow 0$ and in the Coulomb family gauges. We regularize the theory with operator regularization and a cutoff to demonstrate that the results are independent of the regularization scheme.