Introduction to supersymmetry:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2010
|
Ausgabe: | 2. ed. |
Schriftenreihe: | World Scientific lecture notes in physics
80 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 1. Aufl. u.d.T.: Müller-Kirsten, Harald J. W.: Supersymmetry |
Beschreibung: | XI, 439 S. graph. Darst. |
ISBN: | 9789814293426 9789814293419 9814293415 9814293423 |
Internformat
MARC
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245 | 1 | 0 | |a Introduction to supersymmetry |c Harald J. W. Müller-Kirsten ; Armin Wiedemann |
246 | 1 | 3 | |a Supersymmetry |
250 | |a 2. ed. | ||
264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2010 | |
300 | |a XI, 439 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a World Scientific lecture notes in physics |v 80 | |
500 | |a 1. Aufl. u.d.T.: Müller-Kirsten, Harald J. W.: Supersymmetry | ||
650 | 4 | |a Mathematisches Modell | |
650 | 4 | |a Space and time | |
650 | 4 | |a Supersymmetry | |
650 | 4 | |a Supersymmetry |x Mathematical models | |
650 | 0 | 7 | |a Supersymmetrie |0 (DE-588)4128574-8 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Supersymmetrie |0 (DE-588)4128574-8 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Wiedemann, Alfred |d 1952- |e Verfasser |0 (DE-588)121257738 |4 aut | |
830 | 0 | |a World Scientific lecture notes in physics |v 80 |w (DE-604)BV000819327 |9 80 | |
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Datensatz im Suchindex
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adam_text | Contents
Preface
to the Second Edition
v
Preface to the First Edition
vii
Introduction
1
1
Lorentz
and
Poincaré
Group, SL(2, C), Dirac and
Majorana
Spinors
7
1.1
The
Lorentz
Group
........................ 7
1.2
The
Poincaré
Group
....................... 21
1.3
SL(2,C), Dotted and Undotted Indices
............ 32
1.3.1
Spinor Algebra
...................... 32
1.3.2
Calculations with Spinors
................ 48
1.3.3
Connection between SL
(2,
C) and L%
......... 53
1.3.4
The Fierz-Reordering Formula
............. 64
1.3.5
Further Calculations with Spinors
........... 65
1.3.6
Higher Order Weyl Spinors and their Representations
78
1.4
Dirac and
Majorana
Spinors
................... 83
1.4.1
The Weyl Basis or Chiral Representations
....... 85
1.4.2
The Canonical Basis or Dirac Representation
..... 92
1.4.3
The
Majorana
Representation
.............. 95
1.4.4
Charge Conjugation, Dirac and Weyl Representations
101
1.4.5
Majorana
Spinors
.................... 109
1.4.6
Calculations with Dirac Spinors
............. 112
1.4.7
Calculations with
Majorana
Spinors
.......... 114
2
No-Go Theorems and Graded Lie Algebras
117
2.1
The Theorems of Coleman-Mandula and
Haag,
Łopuszański,
Sohnius.............................. 117
2.1.1
The Theorem of Coleman-Mandula
.......... 117
2.1.2
The Theorem of
Haag,
Łopuszański
and
Sohnius . . . 119
ix
CONTENTS
2.2
Graded Lie Algebras
.......................121
2.2.1
Lie Algebras
....................... 121
2.2.2
Graded Algebras
..................... 123
2.2.3
Graded Lie Algebras
................... 123
2.3
The Graded Lie Algebra of
547(2,
C)
.............. 125
2.4
Z2 Graded Lie Algebras
..................... 131
2.5
Graded Matrices
......................... 139
Ì
The Supersymmetric Extension of the
Poincaré
Algebra
147
3.1
Four-Component Dirac Formulation
..............147
3.2
Two-Component Weyl Formulation
...............161
4
Representations of the
Super-Poincaré
Algebra
163
4.1 Casimir
Operators
........................ 163
4.2
Classification of Irreducible Representations
.......... 172
4.2.1 N = 1
Supersymmetry
.................. 172
4.2.2 N > 1
Supersymmetry
.................. 180
5
The Wess-Zumino Model
185
5.1
The Lagrangian and the Equations of Motion
......... 185
5.2
Symmetries
............................ 187
5.3
Plane Wave Expansions
..................... 194
5.4
Projection Operators
....................... 205
5.5
Anticommutation
Relations
................... 209
5.6
The Energy-Momentum Operator of the Wess-Zumino Model
222
5.6.1
The Hamilton Operator
................. 225
5.6.2
The Three-Momentum
P¿
................ 232
5.7
Infinitesimal Supersymmetry Transformations
......... 235
6
Superspace Formalism and Superfields
243
6.1
Superspace
............................ 243
6.2 Grassmann
Differentiation
.................... 246
6.3
Supersymmetry Transformations in the Weyl Formalism
. . . 250
6.3.1
Finite Supersymmetry Transformations
........ 250
6.3.2
Infinitesimal Supersymmetry Transformations and Dif¬
ferential Operator Representations of the Generators
. 256
6.4
Consistency with the
Majorana
Formalism
........... 262
6.5
Covariant Derivatives
...................... 264
6.6
Projection Operators
....................... 271
6.7
Constraints
............................ 278
6.8
Transformations of Component Fields
............. 279
Contents xi
7
Constrained
Superflelds and
Supermultiplets
287
7.1
Chiral Superfields
......................... 287
7.2
Vector
Superfields,
Generalized Gauge
Transformations
. . . 300
7.3
The Supersymmetric
Field Strength..............
306
8
Supersymmetric Lagrangians
317
8.1 Grassmann Integration...................... 317
8.2
Lagrangians and Actions
..................... 323
8.2.1
Construction
of
Lagrangians
from Scalar
Superfields
. 323
8.2.2
Construction
of
Lagrangians
from Vector
Superfields
. 332
8.2.3
Remarks
.......................... 340
9
Spontaneous Breaking of Supersymmetry
343
9.1
The
Superpotential
........................ 343
9.2
Projection Technique
....................... 347
9.3
Spontaneous Symmetry Breaking
................ 364
9.3.1
The
Goldstone
Theorem
................. 367
9.3.2
Remarks on the Wess-Zumino Model
......... 371
9.4
The O Raifeartaigh Model
.................... 372
9.4.1
Spontaneous Breaking of Supersymmetry
....... 372
9.4.2
The Mass Spectrum of the O Raifeartaigh Model
... 377
10
Supersymmetric Gauge Theories
387
10.1
Minimal Coupling
........................ 387
10.2
Super Quantum Electrodynamics
................ 395
10.3
The Fayet-Iliopoulos Model
................... 400
10.4
Supersymmetric Non-Abelian Gauge Theory
.......... 412
Bibliography
423
Index
433
|
any_adam_object | 1 |
author | Müller-Kirsten, Harald J. W. Wiedemann, Alfred 1952- |
author_GND | (DE-588)139821864 (DE-588)121257738 |
author_facet | Müller-Kirsten, Harald J. W. Wiedemann, Alfred 1952- |
author_role | aut aut |
author_sort | Müller-Kirsten, Harald J. W. |
author_variant | h j w m k hjwm hjwmk a w aw |
building | Verbundindex |
bvnumber | BV035949258 |
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callnumber-raw | QC174.17.S9 |
callnumber-search | QC174.17.S9 |
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callnumber-subject | QC - Physics |
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ctrlnum | (OCoLC)477297982 (DE-599)BVBBV035949258 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 539 - Modern physics |
dewey-raw | 539.725 |
dewey-search | 539.725 |
dewey-sort | 3539.725 |
dewey-tens | 530 - Physics |
discipline | Physik |
edition | 2. ed. |
format | Book |
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id | DE-604.BV035949258 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:07:58Z |
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language | English |
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physical | XI, 439 S. graph. Darst. |
publishDate | 2010 |
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publisher | World Scientific |
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series | World Scientific lecture notes in physics |
series2 | World Scientific lecture notes in physics |
spelling | Müller-Kirsten, Harald J. W. Verfasser (DE-588)139821864 aut Introduction to supersymmetry Harald J. W. Müller-Kirsten ; Armin Wiedemann Supersymmetry 2. ed. New Jersey [u.a.] World Scientific 2010 XI, 439 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier World Scientific lecture notes in physics 80 1. Aufl. u.d.T.: Müller-Kirsten, Harald J. W.: Supersymmetry Mathematisches Modell Space and time Supersymmetry Mathematical models Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Supersymmetrie (DE-588)4128574-8 s DE-604 Wiedemann, Alfred 1952- Verfasser (DE-588)121257738 aut World Scientific lecture notes in physics 80 (DE-604)BV000819327 80 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018806352&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Müller-Kirsten, Harald J. W. Wiedemann, Alfred 1952- Introduction to supersymmetry World Scientific lecture notes in physics Mathematisches Modell Space and time Supersymmetry Supersymmetry Mathematical models Supersymmetrie (DE-588)4128574-8 gnd |
subject_GND | (DE-588)4128574-8 |
title | Introduction to supersymmetry |
title_alt | Supersymmetry |
title_auth | Introduction to supersymmetry |
title_exact_search | Introduction to supersymmetry |
title_full | Introduction to supersymmetry Harald J. W. Müller-Kirsten ; Armin Wiedemann |
title_fullStr | Introduction to supersymmetry Harald J. W. Müller-Kirsten ; Armin Wiedemann |
title_full_unstemmed | Introduction to supersymmetry Harald J. W. Müller-Kirsten ; Armin Wiedemann |
title_short | Introduction to supersymmetry |
title_sort | introduction to supersymmetry |
topic | Mathematisches Modell Space and time Supersymmetry Supersymmetry Mathematical models Supersymmetrie (DE-588)4128574-8 gnd |
topic_facet | Mathematisches Modell Space and time Supersymmetry Supersymmetry Mathematical models Supersymmetrie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018806352&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000819327 |
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