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Introduction To Supersymmetry (2nd Edition) 2nd Revised edition [Pehme köide]

(Baden-wuerttemberg Cooperative State Univ Mannheim, Germany), (Univ Of Kaiserslautern, Germany)
Teised raamatud teemal:
Teised raamatud teemal:
Supersymmetry is a symmetry which combines bosons and fermions in the same multiplet of a larger group which unites the transformations of this symmetry with that of spacetime. Thus every bosonic particle must have a fermionic partner and vice versa. Since this is not what is observed, this symmetry with inherent theoretical advantages must be badly broken. It is hoped that the envisaged collider experiments at CERN will permit a first experimental test, which is expected to revive the interest in supersymmetry considerably.This revised edition of the highly successful text of 20 years ago provides an introduction to supersymmetry, and thus begins with a substantial chapter on spacetime symmetries and spinors. Following this, graded algebras are introduced, and thereafter the supersymmetric extension of the spacetime Poincaré algebra and its representations. The Wess-Zumino model, superfields, supersymmetric Lagrangians, and supersymmetric gauge theories are treated in detail in subsequent chapters. Finally the breaking of supersymmetry is addressed meticulously. All calculations are presented in detail so that the reader can follow every step.
Preface to the Second Edition v
Preface to the First Edition vii
Introduction 1(6)
Lorentz and Poincare Group, SL(2, C), Dirac and Majorana Spinors
7(110)
The Lorentz Group
7(14)
The Poincare Group
21(11)
SL(2, C), Dotted and Undotted Indices
32(51)
Spinor Algebra
32(16)
Calculations with Spinors
48(5)
Connection between SL(2, C) and L↑+
53(11)
The Fierz-Reordering Formula
64(1)
Further Calculations with Spinors
65(13)
Higher Order Weyl Spinors and their Representations
78(5)
Dirac and Majorana Spinors
83(34)
The Weyl Basis or Chiral Representations
85(7)
The Canonical Basis or Dirac Representation
92(3)
The Majorana Representation
95(6)
Charge Conjugation, Dirac and Weyl Representations
101(8)
Majorana Spinors
109(3)
Calculations with Dirac Spinors
112(2)
Calculations with Majorana Spinors
114(3)
No-Go Theorems and Graded Lie Algebras
117(30)
The Theorems of Coleman-Mandula and Haag, Lopuszanski, Sohnius
117(4)
The Theorem of Coleman-Mandula
117(2)
The Theorem of Haag, Lopuszanski and Sohnius
119(2)
Graded Lie Algebras
121(4)
Lie Algebras
121(2)
Graded Algebras
123(1)
Graded Lie Algebras
123(2)
The Graded Lie Algebra of SU(2, C)
125(6)
Z2 Graded Lie Algebras
131(8)
Graded Matrices
139(8)
The Supersymmetric Extension of the Poincare Algebra
147(16)
Four-Component Dirac Formulation
147(14)
Two-Component Weyl Formulation
161(2)
Representations of the Super-Poincare Algebra
163(22)
Casimir Operators
163(9)
Classification of Irreducible Representations
172(13)
N = 1 Supersymmetry
172(8)
N > 1 Supersymmetry
180(5)
The Wess-Zumino Model
185(58)
The Lagrangian and the Equations of Motion
185(2)
Symmetries
187(7)
Plane Wave Expansions
194(11)
Projection Operators
205(4)
Anticommutation Relations
209(13)
The Energy-Momentum Operator of the Wess-Zumino Model
222(13)
The Hamilton Operator
225(7)
The Three-Momentum Pi
232(3)
Infinitesimal Supersymmetry Transformations
235(8)
Superspace Formalism and Supefields
243(44)
Superspace
243(3)
Grassmann Differentiation
246(4)
Supersymmetry Transformations in the Weyl Formalism
250(12)
Finite Supersymmetry Transformations
250(6)
Infinitestimal Supersymmetry Transformations and Differential Operator Representations of the Generators
256(6)
Consistency with the Majorana Formalism
262(2)
Covariant Derivatives
264(7)
Projection Operators
271(7)
Constraints
278(1)
Transformations of Component Fields
279(8)
Constrained Superfields and Supermultiplets
287(30)
Chiral Superfields
287(13)
Vector Superfields, Generalized Gauge Transformations
300(6)
The Supersymmetric Field Strength
306(11)
Supersymmetric Lagrangians
317(26)
Grassmann Integration
317(6)
Lagrangians and Actions
323(20)
Construction of Lagrangians from Scalar Superfields
323(9)
Construction of Lagrangians from Vector Superfields
332(8)
Remarks
340(3)
Spontaneous Breaking of Supersymmetry
343(44)
The Superpotential
343(4)
Projection Technique
347(17)
Spontaneous Symmetry Breaking
364(8)
The Goldstone Theorem
367(4)
Remarks on the Wess-Zumino Model
371(1)
The O'Raifeartaigh Model
372(15)
Spontaneous Breaking of Supersymmetry
372(5)
The Mass Spectrum of the O'Raifeartaigh Model
377(10)
Supersymmetric Gauge Theories
387(36)
Minimal Coupling
387(8)
Super Quantum Electrodynamics
395(5)
The Fayet Hiopoulos Model
400(12)
Supersymmetric Non-Abelian Gauge Theory
412(11)
Bibliography 423(10)
Index 433