Nucleon structure from stochastic estimators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Regensburg
Univ.-Verl.
2014
|
| Edition: | 1. Aufl. |
| Series: | Dissertationsreihe der Fakultät für Physik der Universität Regensburg
39 |
| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-306948 Inhaltsverzeichnis |
| Physical Description: | IV, 161 S. graph. Darst. |
| ISBN: | 9783868451092 3868451099 |
Staff View
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| 245 | 1 | 0 | |a Nucleon structure from stochastic estimators |c Johannes Siegfried Samir Najjar |
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| 264 | 1 | |a Regensburg |b Univ.-Verl. |c 2014 | |
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Record in the Search Index
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| adam_text | CONTENTS
1. INTRODUCTION 1
1.1. MOTIVATION 1
1.2. OBJECTIVES 2
1.3. OUTLINE 2
2. HADRON STRUCTURE IN CONTINUUM QCD 5
2.1. NUCLEON STRUCTURE 5
2.2. DEEP INELASTIC SCATTERING 7
2.2.1. DEFINITION 7
2.2.2. DECOMPOSITION OF THE CROSS SECTION 8
2.2.3. OPERATOR PRODUCT EXPANSION AND MOMENTS OF STRUCTURE FUNCTIONS 10
2.2.4. PARTON DISTRIBUTION FUNCTIONS IN THE NUCLEON 11
2.3. MOMENTS OF GPDS 13
2.4. LOWEST MOMENTS OF GPDS, FORM FACTORS AND CHARGES 15
2.4.1. SCALAR FORM FACTOR 16
2.4.2. DIRAC AND PAULI FORM FACTORS 17
2.4.3. AXIAL FORM FACTORS 18
2.4.4. TENSOR FORM FACTORS 20
2.4.5. SECOND MOMENT OF VECTOR GPDS 21
2.4.6. SECOND MOMENT OF AXIAL GPDS 22
2.4.7. SECOND MOMENT OF TENSOR GPDS 22
3. METHODS IN LATTICE QCD 25
3.1. EXPECTATION VALUES IN EUCLIDEAN QCD 25
3.2. DISCRETIZATION 28
3.2.1. SPACETIME ON THE LATTICE 28
3.2.2. GAUGE FIELDS ON THE LATTICE 28
3.2.3. FERMIONS ON THE LATTICE 30
3.3. LINEAR SYSTEM SOLVING 31
3.3.1. ALGORITHMS ... 31
3.3.2. POINT-TO-ALL PROPAGATORS 31
3.3.3. ALL-TO-ALL PROPAGATORS 32
3.4. SMOOTHING TECHNIQUES 33
3.4.1. LINK SMEARING 33
3.4.2. QUARK SMEARING 34
HTTP://D-NB.INFO/1052150993
CONTENTS
3.5. HADRON SPECTROSCOPY 35
3.5.1. EUCLIDEAN CORRELATORS 35
3.5.2. EFFECTIVE MASS 37
3.5.3. IMPLEMENTATION OF ANTIPERIODIC BOUNDARY CONDITIONS FOR FERMIONS
37
3.5.4. NUCLEON SPECTROSCOPY 38
3.5.4.1. INTERPOLATING OPERATORS 38
3.5.4.2. PROJECTION OPERATORS TO DEFINITE PARITY 39
3.5.4.3. OVERLAP FACTORS 39
3.5.4.4. EVALUATION OF THE NUCLEON TWO-POINT FUNCTION 40
3.5.4.5. SIGNAL TO NOISE RATIO 41
3.5.5. OTHER BARYONS 41
3.6. EVALUATION OF THREE-POINT FUNCTIONS 43
3.7. COMPUTATION OF THREE-POINT FUNCTIONS 46
3.7.1. CONTRACTIONS 46
3.7.2. SEQUENTIAL SOURCE WITH FIXED BARYON SINK 46
3.7.3. SEQUENTIAL SOURCE WITH FIXED CURRENT INSERTION 48
3.7.4. STOCHASTIC ESTIMATION 48
3.7.4.1. FIXED INSERTION TIME 49
3.7.4.2. FIXED SINK TIME 50
3.8. EXTRACTION OF NUCLEON FORM FACTORS 51
3.8.1. OVERDETERMINED SYSTEMS OF LINEAR EQUATIONS 51
3.8.2. WORKING EXAMPLE 52
3.9. RENORMALIZATION 53
3.10. SETTING THE SCALE 55
4. CURRENT STATUS OF
G
A
AND (
X
) FROM LATTICE QCD 59
4.1. NUCLEON AXIAL COUPLING 59
4.2. NUCLEON QUARK MOMENTUM FRACTION {X)
U
~D 62
5. EXCITED STATES IN NUCLEON STRUCTURE 65
5.1. FIT FUNCTIONS 65
5.2. CONNECTION OF THE FIT-PARAMETERS TO PHYSICAL QUANTITIES 67
5.2.1. AXIAL COUPLING 67
5.2.2. TENSOR COUPLING 68
5.2.3. SCALAR MATRIX ELEMENT 68
5.2.4. QUARK MOMENTUM FRACTION 69
5.3. SUMMED INSERTIONS 69
5.4. GENERAL CONSIDERATIONS 71
5.4.1. SIMULATION DETAILS 71
CONTENTS
5.4.2. FIT SETUP 72
5.4.2.1. FIT-RANGES 72
5.4.2.2. DATA SETS 73
5.4.2.3. X
2
DEFINITIONS 73
5.5. RESULTS 74
5.5.1. EXTRACTION OF THE NUCLEON MASS 74
5.5.2. SUMMED INSERTION 74
5.5.3. FITS TO INDIVIDUAL OBSERVABLES 75
5.5.4. COMBINED FITS 75
5.5.5. COMPARISON OF THE DIFFERENT METHODS 78
5.6. ESTIMATION OF SYSTEMATIC EFFECTS ON A DIFFERENT LATTICE 83
6. NUCLEON STRUCTURE FROM STOCHASTIC ESTIMATES 87
6.1. OPTIMIZATION OF THE COMPUTATION SETUP 87
6.1.1. PARITY PARTNER AVERAGING 87
6.1.2. DILUTION 89
6.1.3. OPTIMAL CHOICE FOR/V
VEC
90
6.2. STOCHASTIC ESTIMATES FOR NUCLEON FORM FACTORS 92
6.2.1. MOTIVATION 92
6.2.2. SETUP 93
6.2.3. COMPARISON OF DIFFERENT METHODS FOR RATIOS AND CHOICE OF . . 93
6.2.4. COMPARISON OF THE ERRORS ON (GENERALIZED) FORM FACTORS 95
6.3. FURTHER APPLICATIONS 98
7. IMPROVED INTERPOLATING OPERATOR TO SUPPRESS EXCITED STATES 103
7.1. THE VARIATIONAL METHOD 104
7.1.1. GENERAL IDEA 104
7.1.2. CHOICE OF BASIS 105
7.1.2.1. INTERPOLATORS 105
7.1.2.2. VARIATION OF THE SMEARING RADIUS 106
7.1.3. RESULTS OF THE VARIATIONAL METHOD 106
7.2. 2X2 ROTATION MATRIX PARAMETERIZATION 108
7.3. OPTIMIZING THE QUARK SMEARING 112
7.4. OPTIMAL SMEARING COMBINATION 114
7.5. RESULTS OF THE COMBINED SMEARING 114
7.5.1. THE WAVE FUNCTION 115
7.5.2. EFFECTIVE MASSES OF THE LINEAR COMBINATION 117
8. SUMMARY 119
III
CONTENTS
APPENDIX 121
A. CONVENTIONS AND RESOURCES 121
A.L. UNITS AND CONVENTIONS 121
A.2. PROGRAMS AND COMPUTER RESOURCES USED IN THIS WORK 121
B. ADDITIONAL PLOTS 123
C. FORM FACTORS AND GPDS IN EUCLIDEAN SPACETIME 131
C.L. FORM FACTORS 132
C.L.L. SCALAR FORM FACTOR 132
C.1.2. ELECTROMAGNETIC FORM FACTOR 133
C.1.3. AXIAL FORM FACTOR 134
C.1.4. TENSOR FORM FACTOR 134
C.2. GPDS 136
C.2.1. SUBTRACTION OF TRACES 137
C.2.1.1. TRACE SUBTRACTION FOR OPERATORS WITH TWO INDICES .... 137
C.2.1.2. TRACE SUBTRACTION FOR OPERATORS WITH THREE INDICES .... 137
C.2.2. FIRST MOMENT OF THE VECTOR GPDS 139
C.2.3. FIRST MOMENT OF THE AXIAL VECTOR GPDS 141
C.2.4. FIRST MOMENT OF THE TENSOR GPDS 142
C.3. EQUATION SYSTEM SIZE FOR DIFFERENT (GENERALIZED) FORM FACTORS 143
D. BIBLIOGRAPHY 145
ACKNOWLEDGEMENTS 161
IV
|
| any_adam_object | 1 |
| author | Najjar, Johannes Siegfried Samir |
| author_GND | (DE-588)1056941588 |
| author_facet | Najjar, Johannes Siegfried Samir |
| author_role | aut |
| author_sort | Najjar, Johannes Siegfried Samir |
| author_variant | j s s n jss jssn |
| building | Verbundindex |
| bvnumber | BV042046159 |
| collection | ebook |
| ctrlnum | (OCoLC)890506101 (DE-599)DNB1052150993 |
| dewey-full | 530.143 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.143 |
| dewey-search | 530.143 |
| dewey-sort | 3530.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| spelling | Najjar, Johannes Siegfried Samir Verfasser (DE-588)1056941588 aut Nucleon structure from stochastic estimators Johannes Siegfried Samir Najjar 1. Aufl. Regensburg Univ.-Verl. 2014 IV, 161 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dissertationsreihe der Fakultät für Physik der Universität Regensburg 39 Zugl.: Regensburg, Univ., Diss., 2014 Verteilungsfunktion (DE-588)4192219-0 gnd rswk-swf Parton (DE-588)4297139-1 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 Parton (DE-588)4297139-1 s Verteilungsfunktion (DE-588)4192219-0 s Quantenchromodynamik (DE-588)4128082-9 s Gitterfeldtheorie (DE-588)4296098-8 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-306948 Dissertationsreihe der Fakultät für Physik der Universität Regensburg 39 (DE-604)BV035566746 39 http://epub.uni-regensburg.de/30694/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-306948 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027487333&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Najjar, Johannes Siegfried Samir Nucleon structure from stochastic estimators Dissertationsreihe der Fakultät für Physik der Universität Regensburg Verteilungsfunktion (DE-588)4192219-0 gnd Parton (DE-588)4297139-1 gnd Quantenchromodynamik (DE-588)4128082-9 gnd Gitterfeldtheorie (DE-588)4296098-8 gnd |
| subject_GND | (DE-588)4192219-0 (DE-588)4297139-1 (DE-588)4128082-9 (DE-588)4296098-8 (DE-588)4113937-9 |
| title | Nucleon structure from stochastic estimators |
| title_auth | Nucleon structure from stochastic estimators |
| title_exact_search | Nucleon structure from stochastic estimators |
| title_full | Nucleon structure from stochastic estimators Johannes Siegfried Samir Najjar |
| title_fullStr | Nucleon structure from stochastic estimators Johannes Siegfried Samir Najjar |
| title_full_unstemmed | Nucleon structure from stochastic estimators Johannes Siegfried Samir Najjar |
| title_short | Nucleon structure from stochastic estimators |
| title_sort | nucleon structure from stochastic estimators |
| topic | Verteilungsfunktion (DE-588)4192219-0 gnd Parton (DE-588)4297139-1 gnd Quantenchromodynamik (DE-588)4128082-9 gnd Gitterfeldtheorie (DE-588)4296098-8 gnd |
| topic_facet | Verteilungsfunktion Parton Quantenchromodynamik Gitterfeldtheorie Hochschulschrift |
| url | http://epub.uni-regensburg.de/30694/ https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-306948 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027487333&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035566746 |
| work_keys_str_mv | AT najjarjohannessiegfriedsamir nucleonstructurefromstochasticestimators |