标题： 李-维克-陈-辛密斯伪量子电动力学 显示英文标题

标题： The Lee-Wick-Chern-Simons pseudo-quantum electrodynamics

摘要： 在存在Chern-Simons项的情况下，研究了Lee-Wick伪量子电动力学。 本文从一个非局部的拉格朗日密度开始，该密度将定义在二维空间上的Lee-Wick电动力学与Chern-Simons拓扑项相加。 我们研究了经典方面，通过规范传播子研究静态电荷相互作用的势能。 Lee-Wick-Chern-Simons电动力学的规范场与包含新自由度的费米子部分最小耦合，作为电子的Lee-Wick重费米子伙伴。 通过有效作用量，给出了该理论的微扰方法，其中我们得到了Ward恒等式。 我们通过Ward恒等式研究了电子自能、真空极化和$3$-顶点的一环辐射修正。 我们表明，Lee-Wick质量在这些结果中起着关键作用。 显示英文摘要

摘要： The Lee-Wick pseudo-quantum electrodynamics in the presence of a Chern-Simons term is studied in this paper. The paper starts with a non-local lagrangian density that sets the Lee-Wick electrodynamics defined on a bidimensional space added to the Chern-Simons topological term. We investigate classical aspects as the potential energy for the interaction of static charges through the gauge propagator. The gauge field of the Lee-Wick-Chern-Simons electrodynamics is minimally coupled to the fermions sector that includes new degree of freedom, as a Lee-Wick heavy fermion partner of the electron. The perturbative approach for the theory is presented via effective action in which we obtain the Ward identities. We study the radiative corrections at one loop for the electron self-energy, the vacuum polarization, and the $3$-vertex through the Ward identity. We show that the Lee-Wick mass has a fundamental role in these results.