- Title Pages
- Dedication
- Prologue
- 1 Introduction
- 2 Relativistic Invariance
- 3 The Electromagnetic Field
- 4 General Relativity: A Field Theory of Gravitation
- 5 The Physical States
- 6 Relativistic Wave Equations
- 7 Towards a Relativistic Quantum Mechanics
- 8 Functional Integrals and Probabilistic Amplitudes
- 9 Functional Integrals and Quantum Mechanics: Formal Developments
- 10 The Euclidean Functional Integrals
- 11 Fermions and Functional Formalism
- 12 Relativistic Quantum Fields
- 13 Applications
- 14 Geometry and Quantum Dynamics
- 15 Broken Symmetries
- 16 Quantum Field Theory at Higher Orders
- 17 A First Glance at Renormalisation and Symmetry
- 18 Renormalisation of Yang–Mills Theory and BRST Symmetry
- 19 Some Consequences of the Renormalisation Group
- 20 Analyticity Properties of Feynman Diagrams
- 21 Infrared Singularities
- 22 Coherent States and Classical Limit of Quantum Electrodynamics
- 23 Quantum Field Theories with a Large Number of Fields
- 24 The Existence of Field Theories beyond the Perturbation Expansion
- 25 Fundamental Interactions
- 26 Beyond the Standard Model
- 27 Supersymmetry, or the Defence of Scalars
- Appendix A Tensor Calculus
- Appendix B Differential Calculus
- Appendix C Groups and Lie Algebras
- Appendix D A Collection of Useful Formulae
- Appendix E Extract from Maxwell’s <i>A Treatise on Electricity and Magnetism</i>
- Index

# Beyond the Standard Model

# Beyond the Standard Model

- Chapter:
- (p.746) 26 Beyond the Standard Model
- Source:
- From Classical to Quantum Fields
- Author(s):
### Laurent Baulieu

### John Iliopoulos

### Roland Sénéor

- Publisher:
- Oxford University Press

The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of super-symmetry. The generalisation of the Montonen–Olive duality conjecture in supersymmetric theories. The remarkable properties of extended supersymmetric theories. A brief discussion of twisted supersymmetry in connection with topological field theories. Attempts to build a supersymmetric extention of the standard model and its experimental consequences. The property of gauge supersymmetry to include general relativity and the supergravity models.

*Keywords:*
supersymmetry, superspace, non-renormalisation theorems, extended supersymmetries, twisted supersymmetry, Topological field theory, dualities, super-gravity

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- Title Pages
- Dedication
- Prologue
- 1 Introduction
- 2 Relativistic Invariance
- 3 The Electromagnetic Field
- 4 General Relativity: A Field Theory of Gravitation
- 5 The Physical States
- 6 Relativistic Wave Equations
- 7 Towards a Relativistic Quantum Mechanics
- 8 Functional Integrals and Probabilistic Amplitudes
- 9 Functional Integrals and Quantum Mechanics: Formal Developments
- 10 The Euclidean Functional Integrals
- 11 Fermions and Functional Formalism
- 12 Relativistic Quantum Fields
- 13 Applications
- 14 Geometry and Quantum Dynamics
- 15 Broken Symmetries
- 16 Quantum Field Theory at Higher Orders
- 17 A First Glance at Renormalisation and Symmetry
- 18 Renormalisation of Yang–Mills Theory and BRST Symmetry
- 19 Some Consequences of the Renormalisation Group
- 20 Analyticity Properties of Feynman Diagrams
- 21 Infrared Singularities
- 22 Coherent States and Classical Limit of Quantum Electrodynamics
- 23 Quantum Field Theories with a Large Number of Fields
- 24 The Existence of Field Theories beyond the Perturbation Expansion
- 25 Fundamental Interactions
- 26 Beyond the Standard Model
- 27 Supersymmetry, or the Defence of Scalars
- Appendix A Tensor Calculus
- Appendix B Differential Calculus
- Appendix C Groups and Lie Algebras
- Appendix D A Collection of Useful Formulae
- Appendix E Extract from Maxwell’s <i>A Treatise on Electricity and Magnetism</i>
- Index