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Author:   Oliver Piguet ,  K. Sibold
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1986 ed.
Volume:   12
Weight:   0.625kg
ISBN:  

9780817633462

ISBN 10:   0817633464
Pages:   364
Publication Date:   01 January 1986
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

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.- 3.1 The free chiral field.- 3.2 Interacting chiral fields.- 3.3 The O'Raifeartaigh model.- Sect. 4 Abelian gauge models.- 4.1 Free abelian gauge fields.- 4.2 SQED.- 4.3 S'QED and S'QED.- Sect. 5 Non-abelian gauge models.- 5.1 Non-abelian gauge transformations.- 5.2 BRS-invariance.- 5.3 General solution of the Slavnov identity.- 5.4 Interpretation of the parameters ak.- 5.5 Gauge independence.- 5.6 Summary of section 5.- Sect. 6 Supercurrents.- 6.1 Generalities.- 6.2 Chiral models.- 6.2.1 Massless Wess-Zumino model.- 6.2.2 Massive Wess-Zumino model.- 6.2.3 General chiral model.- 6.3 Abelian gauge theory.- 6.4 Non-abelian gauge theory.- 6.5 Identification of component currents.- 6.6 Superfield form of internal symmetry currents.- 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.- 13.1 Consistency conditions, the algebraic technique.- 13.2 Symmetry breaking.- 13.3 Supersymmetry.- 13.3.1 Wess-Zumino model.- 13.3.2 O'Raifeartaigh model.- 13.3.3 SQED.- 13.3.4 S'QED.- 13.3.5 SYM.- 13.4 Rigid gauge invariance.- 13.5 R-invariance.- 13.5.1 Wess-Zumino model.- 13.5.2 O'Raifeartaigh model.- 13.5.3 SQED.- 13.5.4 S'QED.- 13.5.5 SYM.- Sect. 14 Abelian gauge invariance.- 14.1 SQED.- 14.2 S'QED.- Sect. 15 Non-Abelian gauge invariance.- 15.1 Statement of the problem.- 15.2 The consistency condition.- 15.3 Solution of the consistency condition: the anomaly.- 15.4 The anomaly in the Slavnov-identity.- Sect. 16 Renormalized Supercurrents.- 16.1 The Wess-Zumino model.- 16.1.1 The massless case.- 16.1.2 The massive case.- 16.1.3 Summary.- 16.2 Supersymmetric QED.- 16.2.1 Massless vector field.- 16.2.2 Massive vector field.- 16.2.3 Massive vector field, massless matter fields.- 16.2.4 The gauge invariance of the supercurrent.- 16.2.5 The non-renormalization of the axial anomaly.- 16.3 Supersymmetric Yang-Mills theory.- 16.3.1 General preparation.- 16.3.2 The BRS-invariance of current and breaking.- 16.3.3 Renormalized supercurrent and Callan-Symanzik equation.- 16.3.4 The conserved supercurrent.- V Renormalization: Soft Anomalies.- Sect. 17 Mass generation-the O'Raifeartaigh model.- Sect. 18 The off-shell infrared problem in SYM.- 18.1 Statement of the problem. Tree approximation.- 18.2 Higher orders: Solution of the cohomology.- 18.3 Higher orders: The absence of infrared anomalies and the Callan-Symanzik equation.- 18.4 Discussion of the result. Open questions.- 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.

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