Renormalization and symmetry conditions in supersymmetric QED
Renormalization and symmetry conditions in supersymmetric QED
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DOI：
10.1007/s100529900216
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
H. W.;Kraus E.;S. D.
中科院分区：
文献类型：
--
作者：
H. W.;Kraus E.;S. D.
对于超对称规范理论，不知道一种保持超对称和规范不变性的一致正则化方案。在本文中，我们在代数重整化的框架内解决了超对称QED的这个问题。对于实际计算，非不变正则化方案可以与所有幂计数可重整交互的反项一起使用。从表示规范不变性、超对称性和平移不变性的斯拉夫诺夫-泰勒恒等式中，推导出了简单的对称条件，它们在两个方面都很重要：它们建立了对所有阶有效的物理量之间的精确关系，并且它们为实际确定反项提供了有力的工具。我们在维度正则化中执行具体的单环计算，其中超对称在正则化水平上被破坏，并展示了恢复超对称所需的反项如何容易地被读取。此外，还给出了非局部项如何修饰单环阶超对称变换的具体例子。
For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic renormalization. For practical calculations, a non-invariant regularization scheme may be used together with counterterms from all power-counting renormalizable interactions. From the Slavnov–Taylor identity, expressing gauge invariance, supersymmetry and translational invariance, simple symmetry conditions are derived that are important in a twofold respect: they establish exact relations between physical quantities that are valid to all orders, and they provide a powerful tool for the practical determination of the counterterms. We perform concrete one-loop calculations in dimensional regularization, where supersymmetry is spoiled at the regularized level, and show how the counterterms necessary to restore supersymmetry can be read off easily. In addition, a specific example is given how the supersymmetry transformations in one-loop order are modified by non-local terms.