Introduction to supersymmetry

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Introduction to supersymmetry / Harald J.W. Müller-Kirsten, Armin Wiedemann

版:

2nd ed

資料種別:

図書

出版情報:

Hackensack : World Scientific, c2010

形態:

xi, 439 p. ; 26 cm

シリーズ名:

World Scientific lecture notes in physics ; v. 80 <BA00980660>

著者名:

ISBN:

9789814293419 [9814293415] (: hbk)
9789814293426 [9814293423] (: pbk)

書誌ID:

BB01461983

子書誌情報

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書誌詳細

注記:

Includes bibliographical references (p. 423-432) and index

主題:

Space and time; Supersymmetry; Supersymmetry--Mathematical models

言語:

英語

目次情報:

Preface to the Second Edition

Preface to the First Edition

Introduction

Lorentz and Poincaré Group, SL(2, $$$), Dirac and Majorana Spinors / 1：

The Lorentz Group / 1.1：

The Poincaré Group / 1.2：

SL(2, $$$), Dotted and Undotted Indices / 1.3：

Spinor Algebra / 1.3.1：

Calculations with Spinors / 1.3.2：

Connection between SL(2, $$$) and L^↑₊ / 1.3.3：

The Fierz-Reordering Formula / 1.3.4：

Further Calculations with Spinors / 1.3.5：

Higher Order Weyl Spinors and their Representations / 1.3.6：

Dirac and Majorana Spinors / 1.4：

The Weyl Basis or Chiral Representations / 1.4.1：

The Canonical Basis or Dirac Representation / 1.4.2：

The Majorana Representation / 1.4.3：

Charge Conjugation, Dirac and Weyl Representations / 1.4.4：

Majorana Spinors / 1.4.5：

Calculations with Dirac Spinors / 1.4.6：

Calculations with Majorana Spinors / 1.4.7：

No-Go Theorems and Graded Lie Algebras / 2：

The Theorems of Coleman-Mandula and Haag, &Lstoke;opuszański, Sohnius / 2.1：

The Theorem of Coleman-Mandula / 2.1.1：

The Theorem of Haag, &Lstoke;opuszański and Sohnius / 2.1.2：

Graded Lie Algebras / 2.2：

Lie Algebras / 2.2.1：

Graded Algebras / 2.2.2：

The Graded Lie Algebra of SU (2, $$$) / 2.2.3：

$$$₂ Graded Lie Algebras / 2.4：

Graded Matrices / 2.5：

The Supersymmetric Extension of the Poincaré Algebra / 3：

Four-Component Dirac Formulation / 3.1：

Two-Component Weyl Formulation / 3.2：

Representations of the Super-Poincaré Algebra / 4：

Casimir Operators / 4.1：

Classification of Irreducible Representations / 4.2：

N = 1 Supersymmetry / 4.2.1：

N >1 Supersymmetry / 4.2.2：

The Wess-Zumino Model / 5：

The Lagrangian and the Equations of Motion / 5.1：

Symmetries / 5.2：

Plane Wave Expansions / 5.3：

Projection Operators / 5.4：

Anticommutation Relations / 5.5：

The Energy-Momentum Operator of the Wess-Zumino Model / 5.6：

The Hamilton Operator / 5.6.1：

The Three-Momentum P_i / 5.6.2：

Infinitesimal Supersymmetry Transformations / 5.7：

Superspace Formalism and Superfields / 6：

Superspace / 6.1：

Grassmann Differentiation / 6.2：

Supersymmetry Transformations in the Weyl Formalism / 6.3：

Finite Supersymmetry Transformations / 6.3.1：

Infinitesimal Supersymmetry Transformations and Differential Operator Representations of the Generators / 6.3.2：

Consistency with the Majorana Formalism / 6.4：

Covariant Derivatives / 6.5：

Constraints / 6.6：

Transformations of Component Fields / 6.8：

Constrained Superfields and Supermultiplets / 7：

Chiral Superfields / 7.1：

Vector Superfields, Generalized Gauge Transformations / 7.2：

The Supersymmetric Field Strength / 7.3：

Supersymmetric Lagrangians / 8：

Grassmann Integration / 8.1：

Lagrangians and Actions / 8.2：

Construction of Lagrangians from Scalar Superfields / 8.2.1：

Construction of Lagrangians from Vector Superfields / 8.2.2：

Remarks / 8.2.3：

Spontaneous Breaking of Supersymmetry / 9：

The Superpotential / 9.1：

Projection Technique / 9.2：

Spontaneous Symmetry Breaking / 9.3：

The Goldstone Theorem / 9.3.1：

Remarks on the Wess-Zumino Model / 9.3.2：

The O'Raifeartaigh Model / 9.4：

The Mass Spectrum of the O'Raifeartaigh Model / 9.4.1：

Supersymmetric Gauge Theories / 10：

Minimal Coupling / 10.1：

Super Quantum Electrodynamics / 10.2：

The Fayet-Iliopoulos Model / 10.3：

Supersymmetric Non-Abelian Gauge Theory / 10.4：

Bibliography

Index

Preface to the Second Edition

Preface to the First Edition

Introduction

Lorentz and Poincaré Group, SL(2, $$$), Dirac and Majorana Spinors / 1：

The Lorentz Group / 1.1：

The Poincaré Group / 1.2：

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