Investigation on supersymmetric PauliVillars regularization for supersymmetric standard models
Project/Area Number  08640348 
Research Category 
GrantinAid for Scientific Research (C)

Section  一般 
Research Field 
素粒子・核・宇宙線

Research Institution  Ibaraki University 
Principal Investigator 
FUJIWARA Takanori Ibaraki University, Department of Mathematical Sciences, Associate Professor, 理学部, 助教授 (50183596)

CoInvestigator(Kenkyūbuntansha) 
SUZUKI Hiroshi Ibaraki University, Department of Mathematical Sciences, Research Associate, 理学部, 助手 (90250977)

Project Fiscal Year 
1996 – 1997

Project Status 
Completed(Fiscal Year 1997)

Budget Amount *help 
¥1,000,000 (Direct Cost : ¥1,000,000)
Fiscal Year 1997 : ¥1,000,000 (Direct Cost : ¥1,000,000)

Keywords  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 / wardTakahashi identity / unified gauge theory / quantum anomaly / chiral fermion / PauliVillars method 
Research Abstract 
The generalized PauliVillars 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 PauliVilllars 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 PauliVillars 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
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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 PauliVillars 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 gaugecovariant and supersymmetric can also be formulated for supersymmetric 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 PauliVillars 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 PauliVillars regularization to supersymmetric chiral gauge theories. Less

Report
(4results)
Research Output
(32results)