Chiral symmetry and hadronic measurements on the lattice:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Regensburg
2002
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| Schlagworte: | |
| Online-Zugang: | Volltext Volltext Inhaltsverzeichnis |
| Beschreibung: | III, 132 S. Ill., graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a Chiral symmetry and hadronic measurements on the lattice |c vorgelegt von Stefan Schaefer |
| 264 | 1 | |a Regensburg |c 2002 | |
| 300 | |a III, 132 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
1.1 OVERVIEW. 2
1.1.1 THE PUBLICATIONS. 3
1.2 THE CONTINUUM ACTION . 4
1.3 DISCRETIZATION I: THE LATTICE. 5
1.4 DISCRETIZATION II: GAUGE ACTIONS. 6
1.4.1 THE WILSON GAUGE ACTION. 7
1.4.2 THE LIISCHER-WEISZ ACTION. 9
1.4.3 HYP SMEARING . 11
1.5 CHIRAL SYMMETRY. 12
1.6 DISCRETIZATION III: THE DIRAC OPERATOR. 14
1.6.1 NAIVE DISCRETIZATION. 15
1.6.2 WILSON FERMIONS . 16
1.6.3 CLOVER FERMIONS . 17
1.6.4 GINSPARG-WILSON FERMIONS. 18
1.6.5 THE CHIRALLY IMPROVED DIRAC OPERATOR. 20
1.7 THE PATH INTEGRAL ON THE LATTICE. 22
1.8 MONTE CARLO. 24
1.8.1 THE QUENCHED APPROXIMATION . 26
2 CHIRAL SYMMETRY BREAKING 28
2.1 THE MECHANISM OF CHIRAL SYMMETRY BREAKING. 29
2.1.1 INSTANTONS. 29
2.2 A LATTICE STUDY OF CHIRAL SYMMETRY BREAKING. 30
2.2.1 TECHNICAL DETAILS . 32
2.2.2 DENSITY OF EIGENVALUES . 33
2.2.3 LOCALIZATION . 34
2.2.4 LOCAL CHIRALITY . 38
2.2.5 CONCLUSION. 40
2.3 TOPOLOGICAL EXCITATIONS AT FINITE TEMPERATURE. 41
2.3.1 FINITE TEMPERATURE FIELD THEORY . 41
2.3.2 TECHNICAL DETAILS . 44
2.3.3 THE SPECTRUM OF THE DIRAC OPERATOR. 45
I
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/966338901
2.3.4 LOCALIZATION: QUALITATIVE DISCUSSION. 46
2.3.5 LOCALIZATION: QUANTITATIVE RESULTS. 47
2.3.6 LOCAL CHIRALITY. 50
2.4 SUMMARY . 53
3 HADRON SPECTRUM 55
3.1 LATTICE CALCULATION OF HADRON MASSES . 55
3.2 COMPUTATION OF FERMIONIC MATRIX ELEMENTS ON THE LATTICE. 58
3.2.1 MESONS. 58
3.2.2 BARYONS. 60
3.2.3 SMEARING OF THE QUARK FIELDS. 61
3.2.4 THE INVERSION. 62
3.3 HADRON SPECTROSCOPY WITH THE CHIRALLY IMPROVED DIRAC OPERATOR . 63
3.3.1 TECHNICAL DETAILS . 64
3.3.2 RESULTS. 64
THE MASS OF THE PSEUDOSCALAR MESON . 64
THE QUENCHED CHIRAL LOGARITHM. 67
THE MASS OF THE VECTOR MESON. 71
THE PROTON AND ITS PARITY PARTNER. 72
DISPERSION RELATIONS. 73
3.3.3 SCALING PROPERTIES . 75
3.3.4 SUMMARY. 75
4 HADRON STRUCTURE 79
4.1 STRUCTURE FUNCTIONS. 80
4.1.1 UNPOLARIZED SCATTERING: LEADING TWIST . 81
4.1.2 UNPOLARIZED SCATTERING: HIGHER TWIST. 83
4.1.3 POLARIZED SCATTERING. 85
4.1.4 OUTLINE OF THE REST OF THE CHAPTER. 86
4.2 COMPUTATION OF THREE-POINT FUNCTIONS. 87
4.3 STRUCTURE OF THE A HYPERON. 89
4.3.1 THE SIMULATION. 90
4.3.2 DETERMINATION OF THE PHYSICAL
KS
. 92
4.3.3 RESULTS. 93
THE SPIN CONTENT: AO. 93
MOMENTUM:
V2
. 97
SPIN STRUCTURE: THE SECOND MOMENT AI. 97
THE TENSOR CHARGE. 97
4.3.4 SUMMARY. 98
4.4 FOUR-QUARK OPERATORS ON THE LATTICE. 98
4.4.1 MIXING. 99
4.4.2 OPERATORS.100
4.4.3 TECHNICAL DETAILS .102
4.4.4 OPERATORS FROM THE
27 MULTIPLET.103
4.4.5 OPERATORS FROM THE 10 AND 10 MULTIPLETS.106
4.4.6 SUMMARY.107
5 SUMMARY AND OUTLOOK 110
A DEFINITIONS 112
A.L DIRAC MATRICES.112
A.2 THE GELL-MANN MATRICES.113
B DETAILED SPECIFICATION OF THE CHIRALLY IMPROVED DIRAC OPERATOR 115
C ERROR ANALYSIS 118
BIBLIOGRAPHY 120
III |
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| collection | ebook |
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| discipline | Physik |
| format | Thesis Book |
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| indexdate | 2024-11-22T17:35:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010166790 |
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| spelling | Schaefer, Stefan Verfasser aut Chiral symmetry and hadronic measurements on the lattice vorgelegt von Stefan Schaefer Regensburg 2002 III, 132 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dissertation Universität Regensburg 2002 Chirale Symmetrie (DE-588)4274371-0 gnd rswk-swf Chirale Gittereichtheorie (DE-588)4428189-4 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf Gitterfeldtheorie (DE-588)4296098-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenchromodynamik (DE-588)4128082-9 s Gitterfeldtheorie (DE-588)4296098-8 s Chirale Symmetrie (DE-588)4274371-0 s DE-604 Chirale Gittereichtheorie (DE-588)4428189-4 s Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-opus-1314 https://nbn-resolving.org/urn:nbn:de:bvb:355-opus-1314 Resolving-System kostenfrei Volltext https://epub.uni-regensburg.de/10072/ Verlag kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010166790&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schaefer, Stefan Chiral symmetry and hadronic measurements on the lattice Chirale Symmetrie (DE-588)4274371-0 gnd Chirale Gittereichtheorie (DE-588)4428189-4 gnd Quantenchromodynamik (DE-588)4128082-9 gnd Gitterfeldtheorie (DE-588)4296098-8 gnd |
| subject_GND | (DE-588)4274371-0 (DE-588)4428189-4 (DE-588)4128082-9 (DE-588)4296098-8 (DE-588)4113937-9 |
| title | Chiral symmetry and hadronic measurements on the lattice |
| title_auth | Chiral symmetry and hadronic measurements on the lattice |
| title_exact_search | Chiral symmetry and hadronic measurements on the lattice |
| title_full | Chiral symmetry and hadronic measurements on the lattice vorgelegt von Stefan Schaefer |
| title_fullStr | Chiral symmetry and hadronic measurements on the lattice vorgelegt von Stefan Schaefer |
| title_full_unstemmed | Chiral symmetry and hadronic measurements on the lattice vorgelegt von Stefan Schaefer |
| title_short | Chiral symmetry and hadronic measurements on the lattice |
| title_sort | chiral symmetry and hadronic measurements on the lattice |
| topic | Chirale Symmetrie (DE-588)4274371-0 gnd Chirale Gittereichtheorie (DE-588)4428189-4 gnd Quantenchromodynamik (DE-588)4128082-9 gnd Gitterfeldtheorie (DE-588)4296098-8 gnd |
| topic_facet | Chirale Symmetrie Chirale Gittereichtheorie Quantenchromodynamik Gitterfeldtheorie Hochschulschrift |
| url | https://nbn-resolving.org/urn:nbn:de:bvb:355-opus-1314 https://epub.uni-regensburg.de/10072/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010166790&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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