QED $_{3}$的Lowenstein-Zimmermann质量项的出现
Emergence of Lowenstein-Zimmermann mass terms for QED$_{3}$
摘要：
本文考虑了$(2+1)$维无质量QED的超重整化理论，讨论了它们的BRST对称变换。通过推广BRST变换，我们得到了该理论的Nielsen恒等式.此外，我们计算广义BRST（所谓的FFBRST）变换通过使变换参数场依赖。值得注意的是，我们观察到，Lowenstein-Zimmerman质量项，包含Lowenstein-Zimmerman参数，它在BPHZL重整化程序中起着重要的作用，随着外部源耦合到非线性BRST变化自然出现在理论中通过FFBRST变换。
英文摘要：
In this paper we consider a super-renormalizable theory of massless QED in $(2+1)$ dimensions and discuss their BRST symmetry transformation. By extending the BRST transformation we derive the Nielsen identities for the theory. Further, we compute the generalized BRST (so-called FFBRST) transformation by making the transformation parameter field-dependent. Remarkably, we observe that the Lowenstein-Zimmerman mass terms, containing Lowenstein-Zimmerman parameter which plays an important role in the BPHZL renormalization program, along with the external sources coupled to the non-linear BRST variations appear naturally in the theory through a FFBRST transformation.
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