Simplicial gauge theory on spacetime
We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In addition, we perform numerical tests of convergence towa...
Gespeichert in:
Veröffentlicht in: | arXiv.org 2011-07 |
---|---|
Hauptverfasser: | , |
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 | Halvorsen, Tore Gunnar Torquil Macdonald Sørensen |
description | We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In addition, we perform numerical tests of convergence towards exact continuum results for several choices of gauge fields in pure gauge theory. |
doi_str_mv | 10.48550/arxiv.1107.1420 |
format | Article |
fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1107_1420</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2083773319</sourcerecordid><originalsourceid>FETCH-LOGICAL-a519-4f1c4275e7a18c293bad9fcefe838ff32734cc6d9fb38d37cf00183ec4ed7e6d3</originalsourceid><addsrcrecordid>eNotj89LwzAYhoMgbMzdPY2CXluTfEmTHmX4CwYe3D1k6ZeZ0a41acX993bO0wsvDy_vQ8gto4XQUtIHG3_Cd8EYVQUTnF6ROQdguRacz8gypQOllJeKSwlzcv8R2r4JLtgm29txj9nwiV08Zd0xS711OIQWb8i1t03C5X8uyPb5abt-zTfvL2_rx01uJaty4ZkTXElUlmnHK9jZuvIOPWrQ3gNXIJwrp24HugblPKVMAzqBtcKyhgVZXWb_DEwfQ2vjyZxNzNlkAu4uQB-7rxHTYA7dGI_TJcOpBqUmzwp-AVhVSto</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2083773319</pqid></control><display><type>article</type><title>Simplicial gauge theory on spacetime</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Halvorsen, Tore Gunnar ; Torquil Macdonald Sørensen</creator><creatorcontrib>Halvorsen, Tore Gunnar ; Torquil Macdonald Sørensen</creatorcontrib><description>We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In addition, we perform numerical tests of convergence towards exact continuum results for several choices of gauge fields in pure gauge theory.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1107.1420</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Gauge theory ; Mathematics - Mathematical Physics ; Physics - High Energy Physics - Lattice ; Physics - Mathematical Physics ; Relativity ; Spacetime</subject><ispartof>arXiv.org, 2011-07</ispartof><rights>2011. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27904</link.rule.ids><backlink>$$Uhttps://doi.org/10.1007/s00211-013-0552-6$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1107.1420$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Halvorsen, Tore Gunnar</creatorcontrib><creatorcontrib>Torquil Macdonald Sørensen</creatorcontrib><title>Simplicial gauge theory on spacetime</title><title>arXiv.org</title><description>We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In addition, we perform numerical tests of convergence towards exact continuum results for several choices of gauge fields in pure gauge theory.</description><subject>Gauge theory</subject><subject>Mathematics - Mathematical Physics</subject><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - Mathematical Physics</subject><subject>Relativity</subject><subject>Spacetime</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj89LwzAYhoMgbMzdPY2CXluTfEmTHmX4CwYe3D1k6ZeZ0a41acX993bO0wsvDy_vQ8gto4XQUtIHG3_Cd8EYVQUTnF6ROQdguRacz8gypQOllJeKSwlzcv8R2r4JLtgm29txj9nwiV08Zd0xS711OIQWb8i1t03C5X8uyPb5abt-zTfvL2_rx01uJaty4ZkTXElUlmnHK9jZuvIOPWrQ3gNXIJwrp24HugblPKVMAzqBtcKyhgVZXWb_DEwfQ2vjyZxNzNlkAu4uQB-7rxHTYA7dGI_TJcOpBqUmzwp-AVhVSto</recordid><startdate>20110707</startdate><enddate>20110707</enddate><creator>Halvorsen, Tore Gunnar</creator><creator>Torquil Macdonald Sørensen</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><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20110707</creationdate><title>Simplicial gauge theory on spacetime</title><author>Halvorsen, Tore Gunnar ; Torquil Macdonald Sørensen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a519-4f1c4275e7a18c293bad9fcefe838ff32734cc6d9fb38d37cf00183ec4ed7e6d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Gauge theory</topic><topic>Mathematics - Mathematical Physics</topic><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - Mathematical Physics</topic><topic>Relativity</topic><topic>Spacetime</topic><toplevel>online_resources</toplevel><creatorcontrib>Halvorsen, Tore Gunnar</creatorcontrib><creatorcontrib>Torquil Macdonald Sørensen</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>Publicly Available Content Database</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><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Halvorsen, Tore Gunnar</au><au>Torquil Macdonald Sørensen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simplicial gauge theory on spacetime</atitle><jtitle>arXiv.org</jtitle><date>2011-07-07</date><risdate>2011</risdate><eissn>2331-8422</eissn><abstract>We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In addition, we perform numerical tests of convergence towards exact continuum results for several choices of gauge fields in pure gauge theory.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1107.1420</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | EISSN: 2331-8422 |
ispartof | arXiv.org, 2011-07 |
issn | 2331-8422 |
language | eng |
recordid | cdi_arxiv_primary_1107_1420 |
source | arXiv.org; Free E- Journals |
subjects | Gauge theory Mathematics - Mathematical Physics Physics - High Energy Physics - Lattice Physics - Mathematical Physics Relativity Spacetime |
title | Simplicial gauge theory on spacetime |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-21T18%3A50%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Simplicial%20gauge%20theory%20on%20spacetime&rft.jtitle=arXiv.org&rft.au=Halvorsen,%20Tore%20Gunnar&rft.date=2011-07-07&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1107.1420&rft_dat=%3Cproquest_arxiv%3E2083773319%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2083773319&rft_id=info:pmid/&rfr_iscdi=true |