Investigation on supersymmetric Pauli-Villars regularization for supersymmetric standard models

超对称标准模型的超对称Pauli-Villars正则化研究

基本信息

批准号：
08640348
负责人：
FUJIWARA Takanori
金额：
$ 0.64万
依托单位：
Ibaraki University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1997
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640348/
关键词：
regularization supersymmetry chiral symmetry anomaly chiral anomaly supersymmetric model gauge theory background field method anomalies chiral gauge theory back ground field method Fujikawa method super field ward-Takahashi ident

项目摘要

The generalized Pauli-Villars method proposed by Frolov and Slavnov suggests the possibility of chiral symmetric as well as gauge symmetric reguralization for chiral gauge theories and their supersymmetric extensions. By analyzing their method from general setting which is not specialized to a particular model, we reconstructed a generalized Pauli-Villlars regularization method, clarifying the validity of this method. We further tried to extend it to supersymmetric chiral gauge theories. The outcome of our investigation can be summarized as follows :1.The generalized Pauli-Villars method can be applied to theories with general gauge group. When fermions belong to an anomaly free representation, the theory can be reguralized without affecting both chiral and gauge symmetries. This result is highly nontrivial because it is generally believed that chiral symmetry can not be consistent with gauge symmetry in regularizing chiral fermions. For theories with anomalous fermion contents, this m … More ethod does not work completely and there arise singular terms in the gauge currents.2.The regularization yields automatically the transverse vacuum polarization tensor. Furthermore, the anomalies appearing in fermion numbers and conformal currents possess gauge invarinat forms.3.The generalized Pauli-Villars method turns out to be intimately related to Fujikawa's covariant regularization method since it preserves manifestly the gauge symmetry.4.A regularization which is manifestly gauge-covariant and supersymmetric can also be formulated for super-symmetric chiral gauge theories. It reproduces covariant gauge anomalies. It turned out that our method provids a simpler computational scheme for various anomalies.We have not succeeded in supersymmetrizing the generalized Pauli-Villars method, which should be investigated further. At present, it is not completely clear whether such generalization is possible or not. Our consequences obtained so far by analyzing the structure of covariantly regularized gauge currents strongly suggest the possibility of extending the generalized Pauli-Villars regularization to supersymmetric chiral gauge theories. Less

Frolov 和 Slavnov 提出的广义 Pauli-Villars 方法提出了手性理论规范及其超对称扩展的手性对称和规范对称正则化的可能性，通过从不专门针对特定模型的一般设置分析他们的方法，我们重建了。广义的泡利-维拉斯正则化方法，阐明了该方法的有效性，我们进一步尝试将其扩展到超对称手性规范理论。我们的研究结果可总结如下。：1.广义泡利-维拉斯方法可以应用于具有一般规范群的理论，当费米子属于无反常表示时，可以在不影响手征对称性和规范对称性的情况下对理论进行正则化，因为它通常是非常重要的。认为手性费米子正则化时手性对称性与规范对称性不一致，对于费米子含量异常的理论，这种方法并不完全有效。规范电流中出现奇异项。2.正则化自动产生横向真空极化张量此外，费米子数和共形电流中出现的异常具有规范不变形式。3.结果证明广义泡利-维拉斯方法密切相关。藤川的协变正则化方法，因为它明显保留了规范对称性。4.明显规范协变和超对称的正则化也可以公式化为超对称事实证明，我们的方法为各种异常提供了更简单的计算方案。我们还没有成功地实现广义泡利-维拉斯方法的超对称化，目前还没有进一步研究。完全清楚这种概括是否可能，到目前为止，我们通过分析协变正则化规范电流的结构获得的结果强烈表明将广义泡利-维拉斯正则化扩展到的可能性。超对称手性规范理论。