Near commuting multi-matrix models
A bstract We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform...
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| Veröffentlicht in: | The journal of high energy physics 2013-04, Vol.2013 (4), p.1-25, Article 144 |
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| container_title | The journal of high energy physics |
| container_volume | 2013 |
| creator | O’Connor, Denjoe Filev, Veselin G. |
| description | A
bstract
We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius
. We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations. |
| doi_str_mv | 10.1007/JHEP04(2013)144 |
| format | Article |
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bstract
We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius
. We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP04(2013)144</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Commutators ; Computer simulation ; Eigenvalues ; Elementary Particles ; Gaussian ; High energy physics ; Joining ; Mathematical models ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2013-04, Vol.2013 (4), p.1-25, Article 144</ispartof><rights>SISSA, Trieste, Italy 2013</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c343t-c5570a341316a1b1241ce2ec47821878f30e7e50d7c642cbc25eef6908f06d553</citedby><cites>FETCH-LOGICAL-c343t-c5570a341316a1b1241ce2ec47821878f30e7e50d7c642cbc25eef6908f06d553</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP04(2013)144$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP04(2013)144$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41119,41487,42188,42556,51318,51575</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP04(2013)144$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>O’Connor, Denjoe</creatorcontrib><creatorcontrib>Filev, Veselin G.</creatorcontrib><title>Near commuting multi-matrix models</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius
. We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.</description><subject>Classical and Quantum Gravitation</subject><subject>Commutators</subject><subject>Computer simulation</subject><subject>Eigenvalues</subject><subject>Elementary Particles</subject><subject>Gaussian</subject><subject>High energy physics</subject><subject>Joining</subject><subject>Mathematical models</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kEtLw0AUhQdRsFbXbotu6iL23nkmSyn1RVEXuh7S6U1JySR1JgH996bERRFc3bP4zuHyMXaJcIsAZvb8uHgDOeWA4galPGIjBJ4lqTTZ8UE-ZWcxbgFQYQYjdvVCeZi4xvuuLevNxHdVWyY-b0P5NfHNmqp4zk6KvIp08XvH7ON-8T5_TJavD0_zu2XihBRt4pQykAuJAnWOK-QSHXFy0qQcU5MWAsiQgrVxWnK3clwRFTqDtAC9VkqM2XTY3YXms6PYWl9GR1WV19R00aIxwI3Wgvfo9R9023Sh7r-zqBXPuAaje2o2UC40MQYq7C6UPg_fFsHundnBmd07s72zvgFDI_ZkvaFwsPtP5QdzL2sa</recordid><startdate>20130401</startdate><enddate>20130401</enddate><creator>O’Connor, Denjoe</creator><creator>Filev, Veselin G.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20130401</creationdate><title>Near commuting multi-matrix models</title><author>O’Connor, Denjoe ; Filev, Veselin G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c343t-c5570a341316a1b1241ce2ec47821878f30e7e50d7c642cbc25eef6908f06d553</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Commutators</topic><topic>Computer simulation</topic><topic>Eigenvalues</topic><topic>Elementary Particles</topic><topic>Gaussian</topic><topic>High energy physics</topic><topic>Joining</topic><topic>Mathematical models</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>O’Connor, Denjoe</creatorcontrib><creatorcontrib>Filev, Veselin G.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</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>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>O’Connor, Denjoe</au><au>Filev, Veselin G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Near commuting multi-matrix models</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. 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bstract
We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius
. We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP04(2013)144</doi><tpages>25</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Classical and Quantum Gravitation Commutators Computer simulation Eigenvalues Elementary Particles Gaussian High energy physics Joining Mathematical models Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
| title | Near commuting multi-matrix models |
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