The Local Bosonic Algorithm applied to the massive Schwinger model:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1998
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 103 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a The Local Bosonic Algorithm applied to the massive Schwinger model |c eingereicht von Stephan Elser |
| 264 | 1 | |c 1998 | |
| 300 | |a 103 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Berlin, Humboldt-Univ., Diss., 1998 | ||
| 650 | 0 | 7 | |a Massives Schwinger-Modell |0 (DE-588)4272233-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Massives Schwinger-Modell |0 (DE-588)4272233-0 |D s |
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Datensatz im Suchindex
| _version_ | 1812453001482207232 |
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| adam_text |
CONTENTS
1 INTRODUCTION 3
2 THE MODEL: SCHWINGER MODEL - 2D QED 6
2.1 CONTINUUM . 6
2.1.1 MASSLESS 1-FLAVOUR MODEL. 6
2.1.2 MASSIVE 1-FLAVOUR MODEL. 7
2.1.3 MASSLESS 7V-FLAVOUR MODEL. 8
2.1.4 MASSIVE 2-FLAVOUR MODEL. 8
2.2 LATTICE FORMULATION. 9
3 THE STANDARD WAY: HYBRID MONTE CARLO 12
3.1 IMPLEMENTATION. 13
3.1.1 MICRO-CANONICAL UPDATE. 14
3.1.2 LEAPFROG INTEGRATION. 15
3.2 COUNTING IN
Q
OPERATIONS . 16
4 THE NEW WAY: LOCAL BOSONIC ALGORITHM 17
4.1 BASIC IDEA. 17
4.2 CORRECTION STEP. 20
4.2.1 REWEIGHTING. 20
4.2.2 NOISY ACCEPTANCE STEP METHOD I. 21
4.2.3 NOISY ACCEPTANCE STEP METHOD I WITH ADAPTED PRECISION . 22
4.2.4 NOISY ACCEPTANCE STEP METHOD II . 23
4.3 COUNTING IN
Q
OPERATIONS . 24
5 THE PROBLEMS I: INSTABILITIES 25
5.1 FACTORIZED CHEBYSHEV POLYNOMIAL.25
5.2 ORDERING SCHEMES. 27
5.3 SCALAR NUMERICAL TESTS. 30
5.4 MATRIX VALUED NUMERICAL TESTS. 31
6 THE TEST: PHYSICAL RESULTS 38
6.1 CONSISTENCY TESTS. 38
6.2 CHOICE OF PARAMETERS. 41
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/953388026
7 THE PROBLEMS II: TOPOLOGY 53
7.1 ALGORITHM. 53
7.2 TOPOLOGICAL SECTORS. 54
7.3 SIMULATIONS. 54
7.4 PROJECTIONS TO TOPOLOGICAL SECTORS.56
7.5 EXTERNAL GAUGE CONFIGURATIONS.56
8 THE AIM: CPU COST OPTIMISATION 62
8.1
8
X
20
LATTICES. 62
8.2 16 X 40 LATTICES. 63
9 CONCLUSIONS 70
9.1 INSTABILITIES. 70
9.2 TOPOLOGY. 71
9.3 CPU COST OPTIMISATION.R-. 72
A CONVENTIONS 73
A.L GENERAL CONVENTIONS. 73
A.2 GAMMA MATRICES. 74
A.3 FLAVOUR MATRICES. 75
A.4 FERMION MATRIX. . 75
A. 5 MESON OPERATORS, FERMION DENSITIES AND CORRELATORS.76
B ANALYTIC RESULTS 80
B. L FREE FERMIONS. 80
B.2 PURE GAUGE TOPOLOGICAL SUSCEPTIBILITY.80
B.3 PURE GAUGE PLAQUETTE. 81
B. 4 HOPPING PARAMETER EXPANSION. 82
C FORCE 84
C. L FORCE ON BOSONIC FIELDS. 84
C. 2 FORCE ON LINKS. 85
D ROOT ORDERING FORTRAN CODES 86
D. L SIMPLE PAIRING SCHEME.
86
D.2 SUBPOLYNOMIAL SCHEME. 87
D.3 BITREVERSAL SCHEME. 87
D. 4 MONTVAY SCHEME.
88
E GEGENBAUER SOLVER 89
E. L GEGENBAUER POLYNOMIALS. 89
E
.2
SOLVER. 90
E.3 REAL SOLVER FOR
7
= |. 91
F 4D QCD CONVENTIONS 94
2 |
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| author | Elser, Stephan 1968- |
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| indexdate | 2024-10-09T16:04:35Z |
| institution | BVB |
| language | English |
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| spelling | Elser, Stephan 1968- Verfasser (DE-588)120088762 aut The Local Bosonic Algorithm applied to the massive Schwinger model eingereicht von Stephan Elser 1998 103 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berlin, Humboldt-Univ., Diss., 1998 Massives Schwinger-Modell (DE-588)4272233-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Massives Schwinger-Modell (DE-588)4272233-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008033654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Elser, Stephan 1968- The Local Bosonic Algorithm applied to the massive Schwinger model Massives Schwinger-Modell (DE-588)4272233-0 gnd |
| subject_GND | (DE-588)4272233-0 (DE-588)4113937-9 |
| title | The Local Bosonic Algorithm applied to the massive Schwinger model |
| title_auth | The Local Bosonic Algorithm applied to the massive Schwinger model |
| title_exact_search | The Local Bosonic Algorithm applied to the massive Schwinger model |
| title_full | The Local Bosonic Algorithm applied to the massive Schwinger model eingereicht von Stephan Elser |
| title_fullStr | The Local Bosonic Algorithm applied to the massive Schwinger model eingereicht von Stephan Elser |
| title_full_unstemmed | The Local Bosonic Algorithm applied to the massive Schwinger model eingereicht von Stephan Elser |
| title_short | The Local Bosonic Algorithm applied to the massive Schwinger model |
| title_sort | the local bosonic algorithm applied to the massive schwinger model |
| topic | Massives Schwinger-Modell (DE-588)4272233-0 gnd |
| topic_facet | Massives Schwinger-Modell Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008033654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT elserstephan thelocalbosonicalgorithmappliedtothemassiveschwingermodel |