Lattice studies of quark spectra and supersymmetric quantum mechanics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-268622 Inhaltsverzeichnis |
| Beschreibung: | 111 Bl. graph. Darst. |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804149694724571136 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1. INTRODUCTION 5
2. THEORETICAL BASICS 9
2.1. QUANTUM CHROMODYNAMICS 9
2.1.1. QCD AT NON-ZERO TEMPERATURE AND DENSITY 11
2.1.2. QCD ON THE LATTICE 12
2.2. SUPERSYMMETRY 18
2.2.1. SUPERSYMMETRIC QUANTUM MECHANICS 19
2.3. MONTE CARLO INTEGRATION 21
2.3.1. MONTE CARLO WITH IMPORTANCE SAMPLING 21
2.3.2. HYBRID MONTE CARLO 24
2.4. RANDOM MATRIX THEORY 26
2.4.1. GENERALITIES 26
2.4.2. NON-HERMITIAN GAUSSIAN ENSEMBLES 28
2.4.3. UNFOLDING 28
2.4.4. THE NEXT-NEIGHBOR SPACING DISTRIBUTION 29
2.4.5. CHIRAL RANDOM MATRIX THEORY 30
3. ANALYSIS O F QUARK SPECTRA O N T H E LATTICE W I T H TWO-COLOR Q C D
3 1
3.1. QUARK SPECTRA AT HIGH TEMPERATURE 33
3.1.1. COMPARISON BETWEEN THE STAGGERED AND OVERLAP OPERATOR 35 3.1.2.
CONNECTION BETWEEN EIGENMODES AND POLYAKOV LOOPS 39
3.1.3. INTERPRETATION 41
3.1.4. RANDOM MATRIX MODEL FOR THE STAGGERED DIRAC OPERATOR 43
3.2. SPACING DISTRIBUTIONS OF THE OVERLAP OPERATOR AT NON-ZERO DENSITY
48 3.2.1. SPECTRA OF REAL RANDOM MATRICES 50
3.2.2. EIGENVALUE DYNAMICS IN PERTURBATION THEORY 51
3.2.3. DERIVATION OF THE SURMISES 53
3.2.4. COMPARISON OF THE SURMISES TO LARGE RMT SPECTRA 60
3
HTTP://D-NB.INFO/1030395551
IMAGE 2
3.2.5. APPLICATION TO TWO-COLOR QCD AT NON-ZERO DENSITY 62
4. SUPERSYMMETRY O N T H E LATTICE 7 1
4.1. THE BLOCKING APPROACH TO SUSY 72
4.1.1. THE GENERALIZED GINSPARG-WILSON RELATION 72
4.1.2. THE RELATION FOR THE ANTICOMMUTATOR 74
4.1.3. EXPLICIT BLOCKING FOR SUSYQM IN THE CONTINUUM 82
4.2. CONSTRUCTION OF A SUSY-IMPROVED ACTION 85
4.2.1. SUPERSYMMETRIC QUANTUM MECHANICS ON THE LATTICE 86
4.2.2. EXPLICIT METHOD TO CONSTRUCT THE IMPROVED LATTICE ACTION 88
4.2.3. LATTICE DISCRETIZATIONS 91
4.2.4. NUMERICAL RESULTS 93
5. S U M M A R Y A N D CONCLUSIONS 9 7
5.1. ANALYSIS OF QUARK SPECTRA ON THE LATTICE WITH TWO-COLOR QCD 97
5.2. SUPERSYMMETRY ON THE LATTICE 99
A . A P P E N D I X 101
A.L. FOURIER TRANSFORMS 101
A.2. REMAINING CALCULATIONS FOR SEC. 4.1.2.1 102
A.3. DERIVATION OF THE WARD IDENTITIES 102
4
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| spelling | Schierenberg, Sebastian Verfasser aut Lattice studies of quark spectra and supersymmetric quantum mechanics vorgelegt von Sebastian Schierenberg 2012 111 Bl. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regensburg, Univ., Diss., 2012 Gitterfeldtheorie (DE-588)4296098-8 gnd rswk-swf Supersymmetrie (DE-588)4128574-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gitterfeldtheorie (DE-588)4296098-8 s Supersymmetrie (DE-588)4128574-8 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-268622 http://epub.uni-regensburg.de/26862/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-268622 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025431425&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schierenberg, Sebastian Lattice studies of quark spectra and supersymmetric quantum mechanics Gitterfeldtheorie (DE-588)4296098-8 gnd Supersymmetrie (DE-588)4128574-8 gnd |
| subject_GND | (DE-588)4296098-8 (DE-588)4128574-8 (DE-588)4113937-9 |
| title | Lattice studies of quark spectra and supersymmetric quantum mechanics |
| title_auth | Lattice studies of quark spectra and supersymmetric quantum mechanics |
| title_exact_search | Lattice studies of quark spectra and supersymmetric quantum mechanics |
| title_full | Lattice studies of quark spectra and supersymmetric quantum mechanics vorgelegt von Sebastian Schierenberg |
| title_fullStr | Lattice studies of quark spectra and supersymmetric quantum mechanics vorgelegt von Sebastian Schierenberg |
| title_full_unstemmed | Lattice studies of quark spectra and supersymmetric quantum mechanics vorgelegt von Sebastian Schierenberg |
| title_short | Lattice studies of quark spectra and supersymmetric quantum mechanics |
| title_sort | lattice studies of quark spectra and supersymmetric quantum mechanics |
| topic | Gitterfeldtheorie (DE-588)4296098-8 gnd Supersymmetrie (DE-588)4128574-8 gnd |
| topic_facet | Gitterfeldtheorie Supersymmetrie Hochschulschrift |
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