Numerical studies of QCD renormalons in high-order perturbative expansions:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-274792 Inhaltsverzeichnis |
| Physical Description: | II, 129 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Numerical studies of QCD renormalons in high-order perturbative expansions |c vorgelegt von Clemens Bauer |
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| 300 | |a II, 129 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804150018976776192 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
INTRODUCTION 1
1 QUANTUM CHROMODYNAMICS 5
1.1 THE QCD LAGRANGIAN IN THE CONTINUUM 5
1.2 THE PATH INTEGRAL METHOD 8
1.3 ASYMPTOTIC FREEDOM AND CONFINEMENT 9
1.4 LATTICE QCD 11
2 FROM STOCHASTIC QUANTIZATION TO NSPT 15
2.1 STOCHASTIC QUANTIZATION 15
2.2 NUMERICAL STOCHASTIC PERTURBATION THEORY 16
2.3 STOCHASTIC GAUGE FIXING 19
2.4 ZERO MODES 19
2.5 OPTIMAL THERMALIZATION OF LATTICES IN NSPT 20
3 DIVERGENT PERTURBATIVE SERIES 23
3.1 THE OPERATOR PRODUCT EXPANSION 23
3.2 THE BOREL PLANE 26
3.3 THE ADLER FUNCTION AS AN INTRODUCTIVE EXAMPLE 27
3.4 GENERALIZATION TO OBSERVABLES OF ARBITRARY DIMENSION 33
3.5 ULTRAVIOLET RENORMALONS 34
3.6 INSTANTONS 36
3.7 THE POLE MASS 37
3.7.1 QUARK MASS DEFINITION AND THE POLE MASS RENORMALON . . 37
3.7.2 THE POLE MASS IN HQET 40
3.8 RENORMALON CANCELLATION IN CONTINUUM HQET 42
3.9 RENORMALONS IN THEORIES WITH A HARD REGULATOR 44
3.9.1 HQET ON THE LATTICE 44
3.9.2 THE PLAQUETTE 47
3.10 THE GLUON CONDENSATE FROM PHENOMENOLOGY 50
3.11 TOY MODELS AND BEYOND 52
I
HTTP://D-NB.INFO/103281389X
IMAGE 2
II CONTENTS
4 LATTICE OBSERVABLES AND TECHNIQUES 55
4.1 THE POLYAKOV LOOP 55
4.2 TWISTED BOUNDARY CONDITIONS 55
4.3 LINK SMEARING 59
5 RESULTS 61
5.1 POLYAKOV LOOPS 61
5.1.1 PREREQUISITES 61
5.1.2 THE INFLUENCE OF THE STOCHASTIC TIME STEP 63
5.1.3 THE LIMIT N T - OO 64
5.1.4 FINITE- NT EFFECTS 68
5.1.5 FITS 70
5.2 THE PLAQUETTE 81
5.2.1 PREREQUISITES 81
5.2.2 EXPLORATORY STUDY WITH PBC DATA 81
5.2.3 THE INFLUENCE OF THE STOCHASTIC TIME STEP 84
5.2.4 FITS 87
6 SUMMARY 99
APPENDIX 103
A.L RENORMALIZATION SCHEMES AND THE RUNNING COUPLING 103
A.2 STOCHASTIC PERTURBATION THEORY 106
A.3 MAPPING BETWEEN GROUP AND ALGEBRA 107
A.4 PARALLELIZATION OF LARGE-SCALE NSPT SIMULATIONS 108
A.5 RESULT TABLES 113
BIBLIOGRAPHY 119
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| spelling | Bauer, Clemens Verfasser aut Numerical studies of QCD renormalons in high-order perturbative expansions vorgelegt von Clemens Bauer 2012 II, 129 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regensburg, Univ., Diss., 2013 Störungstheorie (DE-588)4128420-3 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenchromodynamik (DE-588)4128082-9 s Störungstheorie (DE-588)4128420-3 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-274792 http://epub.uni-regensburg.de/27479/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-274792 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025692164&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bauer, Clemens Numerical studies of QCD renormalons in high-order perturbative expansions Störungstheorie (DE-588)4128420-3 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4128082-9 (DE-588)4113937-9 |
| title | Numerical studies of QCD renormalons in high-order perturbative expansions |
| title_auth | Numerical studies of QCD renormalons in high-order perturbative expansions |
| title_exact_search | Numerical studies of QCD renormalons in high-order perturbative expansions |
| title_full | Numerical studies of QCD renormalons in high-order perturbative expansions vorgelegt von Clemens Bauer |
| title_fullStr | Numerical studies of QCD renormalons in high-order perturbative expansions vorgelegt von Clemens Bauer |
| title_full_unstemmed | Numerical studies of QCD renormalons in high-order perturbative expansions vorgelegt von Clemens Bauer |
| title_short | Numerical studies of QCD renormalons in high-order perturbative expansions |
| title_sort | numerical studies of qcd renormalons in high order perturbative expansions |
| topic | Störungstheorie (DE-588)4128420-3 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Störungstheorie Quantenchromodynamik Hochschulschrift |
| url | http://epub.uni-regensburg.de/27479/ https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-274792 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025692164&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bauerclemens numericalstudiesofqcdrenormalonsinhighorderperturbativeexpansions |