Renormalized Supersymmetry

The present book grew out of lecture notes prepared for a "Cours du troisieme cycle de la Suisse Romande", 1983 in Lausanne. The original notes are considerably extended and brought up to date. In fact the book offers at many instances completely new derivations. Half-way between textbook and research monograph we believe it to be useful for students in elementary particle physics as well as for research workers in the realm of supersymmetry. In writing the book we looked back not only on ten years of super symmetry but also on ten years of our own life and work. We realize how deeply we are indebted to many friends and colleagues. Some shared our efforts, some helped and encouraged us, some provided the facili ties to work. Their list comprises at least C. Becchi, S. Bedding, P. Breitenlohner, T. E. Clark, S. Ferrara, R. Gatto, M. Jacob, W. Lang, J. H. Lowenstein, D. Maison, H. Nicolai, J. Prentki, A. Rouet, H. Ruegg, M. Schweda, R. Stora, J. Wess, W. Zimmermann, B. Zumino. During the last ten years we had the privilege to work at CERN (Geneva), Departement de Physique Theorique (University of Geneva), Institut fUr Theoretische Physik (University of Karlsruhe) and at the Max-Planck-Institut fUr Physik und Astrophysik (Munich) for which we are most grateful. Grate fully acknowledged is also the support we received by "the Swiss National Science Foundation" (O. P. ), the "Deutsche Forschungsgemeinschaft" (Heisenberg-Fellowship; K. S. ).

Klappentext

The present book grew out of lecture notes prepared for a "Cours du troisieme cycle de la Suisse Romande", 1983 in Lausanne. The original notes are considerably extended and brought up to date. In fact the book offers at many instances completely new derivations. Half-way between textbook and research monograph we believe it to be useful for students in elementary particle physics as well as for research workers in the realm of supersymmetry. In writing the book we looked back not only on ten years of super­ symmetry but also on ten years of our own life and work. We realize how deeply we are indebted to many friends and colleagues. Some shared our efforts, some helped and encouraged us, some provided the facili­ ties to work. Their list comprises at least C. Becchi, S. Bedding, P. Breitenlohner, T. E. Clark, S. Ferrara, R. Gatto, M. Jacob, W. Lang, J. H. Lowenstein, D. Maison, H. Nicolai, J. Prentki, A. Rouet, H. Ruegg, M. Schweda, R. Stora, J. Wess, W. Zimmermann, B. Zumino. During the last ten years we had the privilege to work at CERN (Geneva), Departement de Physique Theorique (University of Geneva), Institut fUr Theoretische Physik (University of Karlsruhe) and at the Max-Planck-Institut fUr Physik und Astrophysik (Munich) for which we are most grateful. Grate­ fully acknowledged is also the support we received by "the Swiss National Science Foundation" (O. P. ), the "Deutsche Forschungsgemeinschaft" (Heisenberg-Fellowship; K. S. ).

Inhalt
I The Supersymmetry Algebra and its Representation of Fields.- Sect. 1 The supersymmetry algebra, superspace, superfields.- Sect. 2 The superconformai algebra.- II Specific Models in the Tree Approximation.- Sect. 3 Chiral models.- Sect. 4 Abelian gauge models.- Sect. 5 Non-abelian gauge models.- Sect. 6 Supercurrents.- III Perturbation Theory in Superspace.- Sect. 7 A simple example.- Sect. 8 Feynman rules and power counting.- Sect. 9 The subtraction scheme.- Sect. 10 Normal products.- Sect. 11 The action principle.- Sect. 12 Symmetric operators.- IV Renormalization: Hard Anomalies.- Sect. 13 Rigid symmetries.- Sect. 14 Abelian gauge invariance.- Sect. 15 Non-Abelian gauge invariance.- Sect. 16 Renormalized Supercurrents.- V Renormalization: Soft Anomalies.- Sect. 17 Mass generationthe O'Raifeartaigh model.- Sect. 18 The off-shell infrared problem in SYM.- Appendix A Notations, conventions and useful formulae.- Appendix B Generating functionals.- Appendix D Symmetric insertions and differential operators.- Appendix E Solution of some superfield constraints.- References.