Formal quark binding and geometric strings
Geometric quantization is applied to a line bundle over spacetime with structure group GL(2,C)/SL(2,C) and curvature form determined by the Ricci tensor. The Ricci form is interpreted as the Hamiltonian form for a particle moving on a string associated with a harmonic oscillator spectrum. Strings ar...
Gespeichert in:
| Veröffentlicht in: | J. Math. Phys. (N.Y.); (United States) 1979-01, Vol.20 (1), p.68-73 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 73 |
|---|---|
| container_issue | 1 |
| container_start_page | 68 |
| container_title | J. Math. Phys. (N.Y.); (United States) |
| container_volume | 20 |
| creator | Lloyd‐Evans, D. J. R. |
| description | Geometric quantization is applied to a line bundle over spacetime with structure group GL(2,C)/SL(2,C) and curvature form determined by the Ricci tensor. The Ricci form is interpreted as the Hamiltonian form for a particle moving on a string associated with a harmonic oscillator spectrum. Strings are characterized as minimal surfaces, and quarks as the gradients of minimal immersions of surfaces in a three‐dimensional spatial hypersurface, leading to a model of a baryon as the intersection of three such surfaces, and their associated quarks. |
| doi_str_mv | 10.1063/1.523964 |
| format | Article |
| fullrecord | <record><control><sourceid>scitation_osti_</sourceid><recordid>TN_cdi_crossref_primary_10_1063_1_523964</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>jmp</sourcerecordid><originalsourceid>FETCH-LOGICAL-c283t-420240448473138fdef209a00e489f6669dbe2c168d9c05a6918147060e743403</originalsourceid><addsrcrecordid>eNp90MFLwzAUx_EgCs4p-CcUTyp0viSvaXKU4VQYeNFzyNK0RrdkJlXwv7ejsovg5b3Lh-_hR8g5hRkFwW_orGJcCTwgEwpSlbWo5CGZADBWMpTymJzk_AZAqUSckOtFTBuzLj4-TXovVj40PnSFCU3RubhxffK2yMMNXT4lR61ZZ3f2-6fkZXH3PH8ol0_3j_PbZWmZ5H2JDBgCosSaUy7bxrUMlAFwKFUrhFDNyjFLhWyUhcoIRSXFGgS4GjkCn5KLsRtz73W2vnf21cYQnO21QKXk0J2SyxHZFHNOrtXb5DcmfWsKejeEpnocYqBXI92lTO9j2NuvmPZOb5v2P_un-wNbbmhn</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Formal quark binding and geometric strings</title><source>AIP Digital Archive</source><creator>Lloyd‐Evans, D. J. R.</creator><creatorcontrib>Lloyd‐Evans, D. J. R. ; 45C, Corsica Stree, London N5 1JT, England</creatorcontrib><description>Geometric quantization is applied to a line bundle over spacetime with structure group GL(2,C)/SL(2,C) and curvature form determined by the Ricci tensor. The Ricci form is interpreted as the Hamiltonian form for a particle moving on a string associated with a harmonic oscillator spectrum. Strings are characterized as minimal surfaces, and quarks as the gradients of minimal immersions of surfaces in a three‐dimensional spatial hypersurface, leading to a model of a baryon as the intersection of three such surfaces, and their associated quarks.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.523964</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>United States</publisher><subject>645400 - High Energy Physics- Field Theory ; COMPOSITE MODELS ; EXTENDED PARTICLE MODEL ; HAMILTONIANS ; HARMONIC OSCILLATORS ; LIE GROUPS ; MATHEMATICAL MODELS ; MATHEMATICAL OPERATORS ; PARTICLE MODELS ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM OPERATORS ; QUARK MODEL ; RICCI TENSOR ; SPACE-TIME ; STRING MODELS ; SUPERSYMMETRY ; SYMMETRY ; SYMMETRY GROUPS ; TENSORS</subject><ispartof>J. Math. Phys. (N.Y.); (United States), 1979-01, Vol.20 (1), p.68-73</ispartof><rights>American Institute of Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c283t-420240448473138fdef209a00e489f6669dbe2c168d9c05a6918147060e743403</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.523964$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,780,784,885,1558,27923,27924,76161</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/6499831$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Lloyd‐Evans, D. J. R.</creatorcontrib><creatorcontrib>45C, Corsica Stree, London N5 1JT, England</creatorcontrib><title>Formal quark binding and geometric strings</title><title>J. Math. Phys. (N.Y.); (United States)</title><description>Geometric quantization is applied to a line bundle over spacetime with structure group GL(2,C)/SL(2,C) and curvature form determined by the Ricci tensor. The Ricci form is interpreted as the Hamiltonian form for a particle moving on a string associated with a harmonic oscillator spectrum. Strings are characterized as minimal surfaces, and quarks as the gradients of minimal immersions of surfaces in a three‐dimensional spatial hypersurface, leading to a model of a baryon as the intersection of three such surfaces, and their associated quarks.</description><subject>645400 - High Energy Physics- Field Theory</subject><subject>COMPOSITE MODELS</subject><subject>EXTENDED PARTICLE MODEL</subject><subject>HAMILTONIANS</subject><subject>HARMONIC OSCILLATORS</subject><subject>LIE GROUPS</subject><subject>MATHEMATICAL MODELS</subject><subject>MATHEMATICAL OPERATORS</subject><subject>PARTICLE MODELS</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>QUANTUM OPERATORS</subject><subject>QUARK MODEL</subject><subject>RICCI TENSOR</subject><subject>SPACE-TIME</subject><subject>STRING MODELS</subject><subject>SUPERSYMMETRY</subject><subject>SYMMETRY</subject><subject>SYMMETRY GROUPS</subject><subject>TENSORS</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1979</creationdate><recordtype>article</recordtype><recordid>eNp90MFLwzAUx_EgCs4p-CcUTyp0viSvaXKU4VQYeNFzyNK0RrdkJlXwv7ejsovg5b3Lh-_hR8g5hRkFwW_orGJcCTwgEwpSlbWo5CGZADBWMpTymJzk_AZAqUSckOtFTBuzLj4-TXovVj40PnSFCU3RubhxffK2yMMNXT4lR61ZZ3f2-6fkZXH3PH8ol0_3j_PbZWmZ5H2JDBgCosSaUy7bxrUMlAFwKFUrhFDNyjFLhWyUhcoIRSXFGgS4GjkCn5KLsRtz73W2vnf21cYQnO21QKXk0J2SyxHZFHNOrtXb5DcmfWsKejeEpnocYqBXI92lTO9j2NuvmPZOb5v2P_un-wNbbmhn</recordid><startdate>19790101</startdate><enddate>19790101</enddate><creator>Lloyd‐Evans, D. J. R.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19790101</creationdate><title>Formal quark binding and geometric strings</title><author>Lloyd‐Evans, D. J. R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c283t-420240448473138fdef209a00e489f6669dbe2c168d9c05a6918147060e743403</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1979</creationdate><topic>645400 - High Energy Physics- Field Theory</topic><topic>COMPOSITE MODELS</topic><topic>EXTENDED PARTICLE MODEL</topic><topic>HAMILTONIANS</topic><topic>HARMONIC OSCILLATORS</topic><topic>LIE GROUPS</topic><topic>MATHEMATICAL MODELS</topic><topic>MATHEMATICAL OPERATORS</topic><topic>PARTICLE MODELS</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>QUANTUM OPERATORS</topic><topic>QUARK MODEL</topic><topic>RICCI TENSOR</topic><topic>SPACE-TIME</topic><topic>STRING MODELS</topic><topic>SUPERSYMMETRY</topic><topic>SYMMETRY</topic><topic>SYMMETRY GROUPS</topic><topic>TENSORS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lloyd‐Evans, D. J. R.</creatorcontrib><creatorcontrib>45C, Corsica Stree, London N5 1JT, England</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>J. Math. Phys. (N.Y.); (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lloyd‐Evans, D. J. R.</au><aucorp>45C, Corsica Stree, London N5 1JT, England</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Formal quark binding and geometric strings</atitle><jtitle>J. Math. Phys. (N.Y.); (United States)</jtitle><date>1979-01-01</date><risdate>1979</risdate><volume>20</volume><issue>1</issue><spage>68</spage><epage>73</epage><pages>68-73</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>Geometric quantization is applied to a line bundle over spacetime with structure group GL(2,C)/SL(2,C) and curvature form determined by the Ricci tensor. The Ricci form is interpreted as the Hamiltonian form for a particle moving on a string associated with a harmonic oscillator spectrum. Strings are characterized as minimal surfaces, and quarks as the gradients of minimal immersions of surfaces in a three‐dimensional spatial hypersurface, leading to a model of a baryon as the intersection of three such surfaces, and their associated quarks.</abstract><cop>United States</cop><doi>10.1063/1.523964</doi><tpages>6</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | J. Math. Phys. (N.Y.); (United States), 1979-01, Vol.20 (1), p.68-73 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_523964 |
| source | AIP Digital Archive |
| subjects | 645400 - High Energy Physics- Field Theory COMPOSITE MODELS EXTENDED PARTICLE MODEL HAMILTONIANS HARMONIC OSCILLATORS LIE GROUPS MATHEMATICAL MODELS MATHEMATICAL OPERATORS PARTICLE MODELS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM OPERATORS QUARK MODEL RICCI TENSOR SPACE-TIME STRING MODELS SUPERSYMMETRY SYMMETRY SYMMETRY GROUPS TENSORS |
| title | Formal quark binding and geometric strings |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T23%3A37%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-scitation_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Formal%20quark%20binding%20and%20geometric%20strings&rft.jtitle=J.%20Math.%20Phys.%20(N.Y.);%20(United%20States)&rft.au=Lloyd%E2%80%90Evans,%20D.%20J.%20R.&rft.aucorp=45C,%20Corsica%20Stree,%20London%20N5%201JT,%20England&rft.date=1979-01-01&rft.volume=20&rft.issue=1&rft.spage=68&rft.epage=73&rft.pages=68-73&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/1.523964&rft_dat=%3Cscitation_osti_%3Ejmp%3C/scitation_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |