The anomalous magnetic moment of the muon:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Springer tracts in modern physics
226 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIII, 426 S. Ill., graph. Darst. |
| ISBN: | 9783540726333 3540726330 |
Internformat
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| 100 | 1 | |a Jegerlehner, Fred |d 1939- |e Verfasser |0 (DE-588)114773025 |4 aut | |
| 245 | 1 | 0 | |a The anomalous magnetic moment of the muon |c F. Jegerlehner |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a XIII, 426 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Springer Tracts in Modern Physics |v 226 | |
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Datensatz im Suchindex
| _version_ | 1804142641147805696 |
|---|---|
| adam_text | CONTENTS
PART I BASIC CONCEPTS, INTRODUCTION TO QED, G * 2 IN A NUTSHELL,
GENERAL PROPERTIES AND TOOLS
1 INTRODUCTION
...............................................
3
REFERENCES .................................................. 17
2 QUANTUM FIELD THEORY AND QUANTUM ELECTRODYNAMICS
....
23
2.1 QUANTUMFIELDTHEORYBACKGROUND........................ 23
2.1.1 CONCEPTS, CONVENTIONS AND NOTATION . . . . . . . . . . . . . . . .
. 23
2.1.2 C,P,T ANDCPT.................................. 30
2.2 THEORIGINOFSPIN ...................................... 34
2.3 QUANTUMELECTRODYNAMICS................................ 44
2.3.1 PERTURBATION EXPANSION, FEYNMAN RULES . . . . . . . . . . . . . 46
2.3.2 TRANSITION MATRIX*ELEMENTS, PARTICLE*ANTIPARTICLE
CROSSING ......................................... 51
2.3.3 CROSSSECTIONSANDDECAYRATES..................... 53
2.4 REGULARIZATIONANDRENORMALIZATION ....................... 55
2.4.1 THE STRUCTURE OF THE RENORMALIZATION PROCEDURE . . . . . . 55
2.4.2 DIMENSIONALREGULARIZATION......................... 58
2.5 TOOLSFORTHEEVALUATIONOFFEYNMANINTEGRALS............... 65
2.5.1
*
=4
*
D
EXPANSION,
*
*
+0 ....................... 65
2.5.2 BOGOLUBOV-SCHWINGER PARAMETRIZATION . . . . . . . . . . . . . . .
66
2.5.3 FEYNMANPARAMETRICREPRESENTATION................. 67
2.5.4 EUCLIDEAN REGION, WICK*ROTATIONS . . . . . . . . . . . . . . . . .
. 67
2.5.5 THEORIGINOFANALYTICITY........................... 69
2.5.6 SCALARONE*LOOPINTEGRALS.......................... 72
2.5.7 TENSORINTEGRALS................................... 74
2.6 ONE*LOOPRENORMALIZATION............................... 76
2.6.1 THE PHOTON PROPAGATOR AND THE PHOTON SELF*ENERGY . . . 76
2.6.2 THEELECTRONSELF*ENERGY .......................... 86
2.6.3 CHARGERENORMALIZATION............................ 92
XII CONTENTS
2.6.4 DYSON* AND WEINBERG*POWER-COUNTING THEOREMS . . . . . 100
2.6.5 THE RUNNING CHARGE AND THE RENORMALIZATION GROUP . . 102
2.6.6 BREMSSTRAHLUNG AND THE BLOCH-NORDSIECK PRESCRIPTION . . 112
2.7 PIONS IN SCALAR QED AND VACUUM POLARIZATION BY VECTOR
MESONS.................................................121
2.8 NOTE ON QCD: THE FEYNMAN RULES AND THE RENORMALIZATION
GROUP .................................................125
REFERENCES ..................................................131
3 LEPTON MAGNETIC MOMENTS: BASICS
.........................
135
3.1 EQUATION OF MOTION FOR A LEPTON IN AN EXTERNAL FIELD . . . . . . . .
135
3.2 MAGNETIC MOMENTS AND ELECTROMAGNETIC FORM FACTORS . . . . . . . 140
3.2.1 MAINFEATURES:ANOVERVIEW........................140
3.2.2 THE ANOMALOUS MAGNETIC MOMENT OF THE ELECTRON . . . . . 162
3.2.3 THE ANOMALOUS MAGNETIC MOMENT OF THE MUON . . . . . . . 166
3.3 STRUCTUREOFTHEELECTROMAGNETICVERTEXINTHESM ..........168
3.4 DIPOLE MOMENTS IN THE NON*RELATIVISTIC LIMIT . . . . . . . . . . . .
. . 172
3.5 PROJECTIONTECHNIQUE ....................................173
3.6 PROPERTIESOFTHEFORMFACTORS............................179
3.7 DISPERSIONRELATIONS.....................................181
3.7.1 DISPERSION RELATIONS AND THE VACUUM POLARIZATION . . . . . 182
3.8 DISPERSIVE CALCULATION OF FEYNMAN DIAGRAMS . . . . . . . . . . . . .
. . 190
REFERENCES ..................................................198
PART II A DETAILED ACCOUNT OF THE THEORY, OUTLINE OF CONCEPTS
OF THE EXPERIMENT, STATUS AND PERSPECTIVES
4 ELECTROMAGNETIC AND WEAK RADIATIVE CORRECTIONS
..........
207
4.1
G
*
2 INQUANTUMELECTRODYNAMICS ........................207
4.1.1 ONE*LOOPQEDCONTRIBUTION.......................209
4.1.2 TWO*LOOPQEDCONTRIBUTION.......................209
4.1.3 THREE*LOOPQEDCONTRIBUTION .....................213
4.1.4 FOUR*LOOPQEDCONTRIBUTION ......................218
4.1.5 FIVE*LOOPQEDCONTRIBUTION.......................223
4.2 WEAKCONTRIBUTIONS .....................................224
4.2.1 WEAKONE*LOOPEFFECTS............................228
4.2.2 WEAKTWO*LOOPEFFECTS............................229
REFERENCES ..................................................260
5H
A
D
R
O
N
I
C
E
FF
E
C
T
S
...........................................
265
5.1 VACUUM POLARIZATION EFFECTS AND
E
+
E
*
DATA ................266
5.1.1 INTEGRATING THE EXPERIMENTAL DATA AND ESTIMATING
THEERROR.........................................277
5.1.2 THE CROSS*SECTION
E
+
E
*
*
HADRONS.................279
CONTENTS XIII
5.1.3
R
(
S
) INPERTURBATIVEQCD..........................284
5.1.4 NON*PERTURBATIVE EFFECTS, OPERATOR PRODUCT EXPANSION 288
5.2 LEADING HADRONIC CONTRIBUTION TO (
G
*
2)OFTHEMUON.......291
5.2.1 ADDENDUM I: THE HADRONIC CONTRIBUTION
TO THE RUNNING FINE STRUCTURE CONSTANT . . . . . . . . . . . . . 297
5.2.2 ADDENDUM II:
*
SPECTRAL FUNCTIONS
VS.
E
+
E
*
ANNIHILATIONDATA.........................298
5.2.3 DIGRESSION: EXERCISES ON THE LOW ENERGY CONTRIBUTION . 300
5.3 HIGHERORDERCONTRIBUTIONS...............................306
5.4 HADRONICLIGHT*BY*LIGHTSCATTERING .......................312
5.4.1 CALCULATING THE HADRONIC LBL CONTRIBUTION . . . . . . . . . . .
316
5.4.2 SKETCHONHADRONICMODELS.........................318
5.4.3 PION*POLECONTRIBUTION ............................325
5.4.4 THE
*
0
**
TRANSITIONFORMFACTOR ...................327
5.4.5 A SUMMARYOFRESULTS.............................339
REFERENCES ..................................................341
6T
H
E
G
*
2 EXPERIMENTS
....................................
347
6.1 OVERVIEWONTHEPRINCIPLEOFTHEEXPERIMENT................347
6.2 PARTICLEDYNAMICS.......................................352
6.3 MAGNETICPRECESSIONFORMOVINGPARTICLES...................355
6.3.1
G
*
2 EXPERIMENTANDMAGICMOMENTUM .............358
6.4 THEORY:PRODUCTIONANDDECAYOFMUONS ...................362
6.5 MUON
G
*
2 RESULTS......................................365
6.6 GROUND STATE HYPERFINE STRUCTURE OF MUONIUM . . . . . . . . . . . .
. . 367
6.7 SINGLE ELECTRON DYNAMICS AND THE ELECTRON
G
*
2 ............369
REFERENCES ..................................................373
7 COMPARISON BETWEEN THEORY AND EXPERIMENT AND FUTURE
PERSPECTIVES
...............................................
375
7.1 EXPERIMENTAL RESULTS CONFRONT STANDARD THEORY . . . . . . . . . . .
. 375
7.2 NEW PHYSICS IN
G
*
2.....................................381
7.2.1 ANOMALOUSCOUPLINGS..............................392
7.2.2 SUPERSYMMETRY ...................................393
7.3 PERSPECTIVESFORTHEFUTURE ...............................406
REFERENCES ..................................................411
INDEX
..........................................................
421
|
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| author | Jegerlehner, Fred 1939- |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV025477440 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:34:59Z |
| institution | BVB |
| isbn | 9783540726333 3540726330 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020091815 |
| oclc_num | 255786281 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | XIII, 426 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Springer tracts in modern physics |
| series2 | Springer Tracts in Modern Physics |
| spelling | Jegerlehner, Fred 1939- Verfasser (DE-588)114773025 aut The anomalous magnetic moment of the muon F. Jegerlehner 1. ed. Berlin [u.a.] Springer 2008 XIII, 426 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer Tracts in Modern Physics 226 Literaturangaben Magnetisches Moment (DE-588)4168576-3 gnd rswk-swf Myon (DE-588)4170940-8 gnd rswk-swf Myon (DE-588)4170940-8 s Magnetisches Moment (DE-588)4168576-3 s DE-604 Springer tracts in modern physics 226 (DE-604)BV000000153 226 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020091815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jegerlehner, Fred 1939- The anomalous magnetic moment of the muon Springer tracts in modern physics Magnetisches Moment (DE-588)4168576-3 gnd Myon (DE-588)4170940-8 gnd |
| subject_GND | (DE-588)4168576-3 (DE-588)4170940-8 |
| title | The anomalous magnetic moment of the muon |
| title_auth | The anomalous magnetic moment of the muon |
| title_exact_search | The anomalous magnetic moment of the muon |
| title_full | The anomalous magnetic moment of the muon F. Jegerlehner |
| title_fullStr | The anomalous magnetic moment of the muon F. Jegerlehner |
| title_full_unstemmed | The anomalous magnetic moment of the muon F. Jegerlehner |
| title_short | The anomalous magnetic moment of the muon |
| title_sort | the anomalous magnetic moment of the muon |
| topic | Magnetisches Moment (DE-588)4168576-3 gnd Myon (DE-588)4170940-8 gnd |
| topic_facet | Magnetisches Moment Myon |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020091815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000153 |
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