A meron cluster solution for the sign problem of the two-dimensional O(3) model
The two-dimensional O(3) model at a vacuum angle theta=pi is investigated. This model has a severe sign problem. By a Wolff cluster algorithm an integer or half-integer topological charge is assigned to each cluster. The meron clusters (clusters with half-integer topological charge) are used to cons...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2002-07 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Brechtefeld, Frank |
| description | The two-dimensional O(3) model at a vacuum angle theta=pi is investigated. This model has a severe sign problem. By a Wolff cluster algorithm an integer or half-integer topological charge is assigned to each cluster. The meron clusters (clusters with half-integer topological charge) are used to construct an improved estimator for the correlation function of two spins at theta=pi. Only configurations with 0 and 2 merons contribute to this correlation function. An algorithm, that generates configurations with only 0 and 2 merons, is constructed and numerical simulations at theta=pi are performed. The numerical results indicate the presence of long range correlations at theta=pi. |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2079820241</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2079820241</sourcerecordid><originalsourceid>FETCH-proquest_journals_20798202413</originalsourceid><addsrcrecordid>eNqNjEEKwjAQRYMgWLR3GHCji0I6aW1diijuunEv1abaknQ0k-L1DeIBXH14vPcnIkKl0qTMEGciZu6llLgpMM9VJKodWO1ogJsZ2WsHTGb0XQAtOfAPDdzdB3g6uhptgdov829Kms7qgYNZG6hWag2WGm0WYtrWhnX827lYHg_n_SkJD69Rs7_0NLrQ8AVlsS1RYpaq_6wPxek9uQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2079820241</pqid></control><display><type>article</type><title>A meron cluster solution for the sign problem of the two-dimensional O(3) model</title><source>Free E- Journals</source><creator>Brechtefeld, Frank</creator><creatorcontrib>Brechtefeld, Frank</creatorcontrib><description>The two-dimensional O(3) model at a vacuum angle theta=pi is investigated. This model has a severe sign problem. By a Wolff cluster algorithm an integer or half-integer topological charge is assigned to each cluster. The meron clusters (clusters with half-integer topological charge) are used to construct an improved estimator for the correlation function of two spins at theta=pi. Only configurations with 0 and 2 merons contribute to this correlation function. An algorithm, that generates configurations with only 0 and 2 merons, is constructed and numerical simulations at theta=pi are performed. The numerical results indicate the presence of long range correlations at theta=pi.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algorithms ; Clusters ; Computer simulation ; Configurations ; Correlation ; Ice ; Mathematical models ; Topology ; Two dimensional models</subject><ispartof>arXiv.org, 2002-07</ispartof><rights>2002. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>780,784</link.rule.ids></links><search><creatorcontrib>Brechtefeld, Frank</creatorcontrib><title>A meron cluster solution for the sign problem of the two-dimensional O(3) model</title><title>arXiv.org</title><description>The two-dimensional O(3) model at a vacuum angle theta=pi is investigated. This model has a severe sign problem. By a Wolff cluster algorithm an integer or half-integer topological charge is assigned to each cluster. The meron clusters (clusters with half-integer topological charge) are used to construct an improved estimator for the correlation function of two spins at theta=pi. Only configurations with 0 and 2 merons contribute to this correlation function. An algorithm, that generates configurations with only 0 and 2 merons, is constructed and numerical simulations at theta=pi are performed. The numerical results indicate the presence of long range correlations at theta=pi.</description><subject>Algorithms</subject><subject>Clusters</subject><subject>Computer simulation</subject><subject>Configurations</subject><subject>Correlation</subject><subject>Ice</subject><subject>Mathematical models</subject><subject>Topology</subject><subject>Two dimensional models</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqNjEEKwjAQRYMgWLR3GHCji0I6aW1diijuunEv1abaknQ0k-L1DeIBXH14vPcnIkKl0qTMEGciZu6llLgpMM9VJKodWO1ogJsZ2WsHTGb0XQAtOfAPDdzdB3g6uhptgdov829Kms7qgYNZG6hWag2WGm0WYtrWhnX827lYHg_n_SkJD69Rs7_0NLrQ8AVlsS1RYpaq_6wPxek9uQ</recordid><startdate>20020722</startdate><enddate>20020722</enddate><creator>Brechtefeld, Frank</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20020722</creationdate><title>A meron cluster solution for the sign problem of the two-dimensional O(3) model</title><author>Brechtefeld, Frank</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20798202413</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Algorithms</topic><topic>Clusters</topic><topic>Computer simulation</topic><topic>Configurations</topic><topic>Correlation</topic><topic>Ice</topic><topic>Mathematical models</topic><topic>Topology</topic><topic>Two dimensional models</topic><toplevel>online_resources</toplevel><creatorcontrib>Brechtefeld, Frank</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Brechtefeld, Frank</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>A meron cluster solution for the sign problem of the two-dimensional O(3) model</atitle><jtitle>arXiv.org</jtitle><date>2002-07-22</date><risdate>2002</risdate><eissn>2331-8422</eissn><abstract>The two-dimensional O(3) model at a vacuum angle theta=pi is investigated. This model has a severe sign problem. By a Wolff cluster algorithm an integer or half-integer topological charge is assigned to each cluster. The meron clusters (clusters with half-integer topological charge) are used to construct an improved estimator for the correlation function of two spins at theta=pi. Only configurations with 0 and 2 merons contribute to this correlation function. An algorithm, that generates configurations with only 0 and 2 merons, is constructed and numerical simulations at theta=pi are performed. The numerical results indicate the presence of long range correlations at theta=pi.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2002-07 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_proquest_journals_2079820241 |
| source | Free E- Journals |
| subjects | Algorithms Clusters Computer simulation Configurations Correlation Ice Mathematical models Topology Two dimensional models |
| title | A meron cluster solution for the sign problem of the two-dimensional O(3) model |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T14%3A56%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=A%20meron%20cluster%20solution%20for%20the%20sign%20problem%20of%20the%20two-dimensional%20O(3)%20model&rft.jtitle=arXiv.org&rft.au=Brechtefeld,%20Frank&rft.date=2002-07-22&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2079820241%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2079820241&rft_id=info:pmid/&rfr_iscdi=true |