A meron cluster solution for the sign problem of the two-dimensional O(3) model:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
2001
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Erlangen-Nürnberg, Univ., Diss., 2001. - Enth. Zsfassung in dt. Sprache |
| Beschreibung: | 69 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Brechtefeld, Frank |d 1974- |e Verfasser |0 (DE-588)123480485 |4 aut | |
| 245 | 1 | 0 | |a A meron cluster solution for the sign problem of the two-dimensional O(3) model |c von Frank Brechtefeld |
| 264 | 1 | |c 2001 | |
| 300 | |a 69 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Erlangen-Nürnberg, Univ., Diss., 2001. - Enth. Zsfassung in dt. Sprache | ||
| 502 | |a Erlangen-Nürnberg, Univ., Diss., 2001 | ||
| 650 | 4 | |a Spinmodell - Dimension 2 - O-3-Symmetrie - Perkolationstheorie | |
| 650 | 0 | 7 | |a O-3-Symmetrie |0 (DE-588)4672173-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spinmodell |0 (DE-588)4272227-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dimension 2 |0 (DE-588)4321721-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Perkolationstheorie |0 (DE-588)4323583-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Spinmodell |0 (DE-588)4272227-5 |D s |
| 689 | 0 | 1 | |a Dimension 2 |0 (DE-588)4321721-7 |D s |
| 689 | 0 | 2 | |a O-3-Symmetrie |0 (DE-588)4672173-3 |D s |
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Datensatz im Suchindex
| _version_ | 1807772492772671488 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
3
1.1
PROLOGUE
.
3
1.1.1
MOTIVATION:
SOLVING
COMPLEX
ACTION
AND
SIGN
PROBLEMS
.
3
1.1.2
ORGANIZATION
OF
THIS
THESIS
.
4
1.2
THE
IDEA
OF
A
MERON
CLUSTER
ALGORITHM
AND
ITS
RELATION
TO
OTHER
TOPICS
5
1.2.1
MERONS
.
5
1.2.2
CLUSTER
ALGORITHMS
.
6
1.2.3
THE
MERON
CLUSTER
ALGORITHM
.
7
1.2.4
SUMMARY
.
8
2
THE
WOLFF
CLUSTER
ALGORITHM
AND
THE
TWO-DIMENSIONAL
0(3)
MODEL
10
2.1
THE
WOLFF
CLUSTER
ALGORITHM
.
10
2.1.1
DESCRIPTION
OF
THE
WOLFF
CLUSTER
ALGORITHM
.
10
2.1.2
IMPROVED
ESTIMATORS
.
12
2.2
TOPOLOGICAL
PROPERTIES
OF
THE
MODEL
.
14
2.2.1
CLUSTER
CHARGES
.
14
2.2.2
CONSTRAINT
RULE
.
14
2.2.3
CHARGE
CALCULATION
ON
THE
LATTICE
.
16
2.3
THE
SIGN
PROBLEM
OF
THE
MODEL
AT
0
=
TT
.
18
2.3.1
FORMULATION
OF
THE
SIGN
PROBLEM
.
18
2.3.2
CORRELATION
FUNCTION
AT
0
=
TT
.
19
3
A
MERON
CLUSTER
ALGORITHM
FOR
SOLVING
THE
SIGN
PROBLEM
21
3.1
A
MODIFIED
WOLFF
CLUSTER
ALGORITHM
.
21
3.1.1
DESCRIPTION
OF
THE
MODIFIED
WOLFF
CLUSTER
ALGORITHM
.
21
3.1.2
A
SEVERE
PROBLEM
OF
THE
MODIFIED
WOLFF
CLUSTER
ALGORITHM
.
22
3.2
AN
ALGORITHM
WITH
TWO
PERPENDICULAR
WOLFF
DIRECTIONS
.
23
3.2.1
INVARIANT
PROBABILITY
.
23
3.2.2
NON-INVARIANT
CONSTRAINT
RULE
.
26
3.2.3
EFFECTS
OF
THE
ADDITIONAL
RULE
.
27
3.3
AN
ALGORITHM
WITH
FIXED
WOLFF
DIRECTION
.
28
3.3.1
PRINCIPAL
IDEA:
FIXED
WOLFF
DIRECTION
.
28
3.3.2
DESCRIPTION
OF
THE
ALGORITHM
WITH
FIXED
WOLFF
DIRECTION
.
.
28
3.3.3
DETAILED
BALANCE
.
30
3.3.4
PROPERTIES
OF
THE
ALGORITHM
.
32
4
NUMERICAL
CALCULATION
OF
THE
CORRELATION
FUNCTION
AT
9
=
T
37
4.1
QUALITATIVE
DISCUSSION
.
37
4.2
PARALLELIZATION
.
38
4.3
LONG
RANGE
PART
OF
THE
CORRELATION
FUNCTION
AT
0
=
TR
.
41
4.4
ANALYSIS
OF
FINITE
SIZE
EFFECTS
.
42
5
THE
(PHYSICAL)
SIGNIFICANCE
OF
MERON
CLUSTERS
49
5.1
CONTINUUM
FORMULATION
.
49
5.1.1
CLUSTERS
IN
THE
CONTINUUM
.
49
5.1.2
THE
TWO-DIMENSIONAL
0(3)
MODEL
IN
THE
CONTINUUM
.
50
5.2
MERON
CLUSTERS
AND
VORTICES
.
50
5.2.1
WINDING
NUMBERS
.
50
5.2.2
RELATION
BETWEEN
CLUSTER
CHARGE
AND
WINDING
NUMBER
.
51
5.2.3
DISCUSSION
.
53
6
FURTHER
POSSIBLE
APPLICATIONS
OF
THE
MERON
CLUSTER
CONCEPT
56
6.1
CONSTRUCTION
AND
CALCULATION
OF
IMPROVED
ESTIMATORS
.
56
6.1.1
CALCULATION
OF
HIGHER
N-POINT
FUNCTIONS
.
56
6.1.2
CALCULATIONS
AT
ARBITRARY
0
.
56
6.2
APPLICATION
TO
QCD
.
58
6.2.1
CLUSTER
ALGORITHMS
FOR
GAUGE
THEORIES
.
58
6.2.2
QCD
AT
9
0
OR
AT
P
0
.
60
7
SUMMARY
AND
OUTLOOK
62
A
DETAILED
BALANCE
FOR
THE
MODIFIED
WOLFF
CLUSTER
ALGORITHM
66
2 |
| any_adam_object | 1 |
| author | Brechtefeld, Frank 1974- |
| author_GND | (DE-588)123480485 |
| author_facet | Brechtefeld, Frank 1974- |
| author_role | aut |
| author_sort | Brechtefeld, Frank 1974- |
| author_variant | f b fb |
| building | Verbundindex |
| bvnumber | BV014117473 |
| classification_rvk | UO 2800 |
| ctrlnum | (OCoLC)248736762 (DE-599)BVBBV014117473 |
| discipline | Physik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV014117473 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:09:54Z |
| institution | BVB |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009673023 |
| oclc_num | 248736762 |
| open_access_boolean | |
| owner | DE-29 DE-29T DE-355 DE-BY-UBR DE-12 DE-83 DE-188 |
| owner_facet | DE-29 DE-29T DE-355 DE-BY-UBR DE-12 DE-83 DE-188 |
| physical | 69 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
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| spelling | Brechtefeld, Frank 1974- Verfasser (DE-588)123480485 aut A meron cluster solution for the sign problem of the two-dimensional O(3) model von Frank Brechtefeld 2001 69 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Erlangen-Nürnberg, Univ., Diss., 2001. - Enth. Zsfassung in dt. Sprache Erlangen-Nürnberg, Univ., Diss., 2001 Spinmodell - Dimension 2 - O-3-Symmetrie - Perkolationstheorie O-3-Symmetrie (DE-588)4672173-3 gnd rswk-swf Spinmodell (DE-588)4272227-5 gnd rswk-swf Dimension 2 (DE-588)4321721-7 gnd rswk-swf Perkolationstheorie (DE-588)4323583-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Spinmodell (DE-588)4272227-5 s Dimension 2 (DE-588)4321721-7 s O-3-Symmetrie (DE-588)4672173-3 s Perkolationstheorie (DE-588)4323583-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009673023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brechtefeld, Frank 1974- A meron cluster solution for the sign problem of the two-dimensional O(3) model Spinmodell - Dimension 2 - O-3-Symmetrie - Perkolationstheorie O-3-Symmetrie (DE-588)4672173-3 gnd Spinmodell (DE-588)4272227-5 gnd Dimension 2 (DE-588)4321721-7 gnd Perkolationstheorie (DE-588)4323583-9 gnd |
| subject_GND | (DE-588)4672173-3 (DE-588)4272227-5 (DE-588)4321721-7 (DE-588)4323583-9 (DE-588)4113937-9 |
| title | A meron cluster solution for the sign problem of the two-dimensional O(3) model |
| title_auth | A meron cluster solution for the sign problem of the two-dimensional O(3) model |
| title_exact_search | A meron cluster solution for the sign problem of the two-dimensional O(3) model |
| title_full | A meron cluster solution for the sign problem of the two-dimensional O(3) model von Frank Brechtefeld |
| title_fullStr | A meron cluster solution for the sign problem of the two-dimensional O(3) model von Frank Brechtefeld |
| title_full_unstemmed | A meron cluster solution for the sign problem of the two-dimensional O(3) model von Frank Brechtefeld |
| title_short | A meron cluster solution for the sign problem of the two-dimensional O(3) model |
| title_sort | a meron cluster solution for the sign problem of the two dimensional o 3 model |
| topic | Spinmodell - Dimension 2 - O-3-Symmetrie - Perkolationstheorie O-3-Symmetrie (DE-588)4672173-3 gnd Spinmodell (DE-588)4272227-5 gnd Dimension 2 (DE-588)4321721-7 gnd Perkolationstheorie (DE-588)4323583-9 gnd |
| topic_facet | Spinmodell - Dimension 2 - O-3-Symmetrie - Perkolationstheorie O-3-Symmetrie Spinmodell Dimension 2 Perkolationstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009673023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT brechtefeldfrank ameronclustersolutionforthesignproblemofthetwodimensionalo3model |