[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-227616-en":3,"doc-seo-227616-105":31,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":28,"seo_description":14,"update_tm":29,"read_time":30},227616,8796096645457,"Arica Lee","https://ap-avatar.wpscdn.com/avatar/800003749518d68ffe3?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345340919836971",8,"Research & Report","The Tight Knot Spectrum in QCD - Seminar at the University of Edinburgh 10 October 2012","This document presents a seminar by Tom Kephart from Vanderbilt University, held at the University of Edinburgh on October 10, 2012, titled \"The Tight Knot Spectrum in QCD.\" The seminar explores the physics of knots and links, with a particular focus on tight knots and their relevance in Quantum Chromodynamics (QCD). It outlines examples of knots and links in various areas of physics, including classical, biophysical, and quantum systems. Specific examples discussed range from plasma physics and DNA to QCD flux tubes, superconductors, and cosmic strings. The seminar delves into the mathematical and physical principles governing these phenomena, such as helicity conservation in plasma physics and the concept of force-free configurations. It also touches upon the stability of knots and links through conserved quantum numbers and generalized linking. The application of tight knots in DNA is highlighted, referencing key research papers that discuss their estimation and properties. The document aims to elucidate the universality of tight quantum knots and their potential applications across different scientific disciplines.","# The Tight KnotSpectrum in QCD\n\nTom KephartVanderbilt University  \nSeminar at theUniversity of Edinburgh10 October 2012  \n## Knots,Links,and Physics\n\nExamples of Knots and Links in Physics  \nKnots and Tight Knots:Theory  \nTight Knots/Links in QCD  \nOther Possible Tight Knot Applications  \n## Introduction:TightKnots and Physics\n\n·Many Potential PhysicalSystems can be Knotted orLinked,some tightly  \n·Examples in Several Areas ofPhysics  \n## List of Examples\n\nCLASSICAL PHYSICS/BIOPHYSICS  \n.Plasma Physics  \n.DNA  \n.MacroBiology  \nQUANTUM PHYSICS  \n.QCD Flux Tubes (tight)  \n.Superconductors (tight)  \n.Superfluids and Superfluid Turbulence  \n.Atomic Condensates  \n.Cosmic Strings (tight?)  \nUNIVERSALITY for Tight Quantum Case  \nPlasma Phys:Magnetic Flux Tubes  \n·Tubes under Tension Contract  \n·Minimum Length Determined by Topology  \n·Taylor States in Plasma  \n·Differs for QCD where radius is fixed  \n## Plasma Physics\n\nL.Woltjer,PNAS,44,489(1958)  \nH.K.Moffatt,J.Fluid Mech.35,117(1969)  \nJ.B.Taylor,PRL,33,1139(1974)  \n## Biology\n\nA.Stasiak,et al.,Nature 384,122(1996)  \n## Plasma Physics:SOHO images\n\nHelicity Conservation:  \nEnergy E=ʃB²dV Helicity H=ʃB·dA  \nMinimize Energy E Holding H Fixed  \nFind J=λB or ▽×B=入B  \nForce Free Configurations  \n## Knot /Link stabilty\n\nConserved quantum numbers  \nGaussian linking--Hopf link,trefoil knot  \nGenealized linking--Borromean rings,etc.  \n## Tightly Knotted DNA\n\nTight knots first discussed and lengthsestimated in:  \nKatritch,V.,Bednar,J.,Michoud,D.,Scharein,R.G.,Dubochet,J.&Stasiak,  \nA.(1996)Nature  \nKatritch,V.,Olson,W.K.,Pieranski,P.,  \nDubochet,J.&Stasiak,A.(1997)Nature.  \n## Knotted DNA","cbCaiiEAfCo6HeTj","https://ap.wps.com/l/cbCaiiEAfCo6HeTj","pdf",2415023,2,1,88,"English","en",105,"# The Tight Knot Spectrum in QCD\n## Knots, Links, and Physics\n### Examples of Knots and Links in Physics\n### Knots and Tight Knots: Theory\n### Tight Knots/Links in QCD\n### Other Possible Tight Knot Applications\n## Introduction: Tight Knots and Physics\n## List of Examples\n## Plasma Physics\n## Biology\n## Plasma Physics: SOHO images\n## Knot / Link stability\n## Tightly Knotted DNA\n## Knotted DNA","[{\"question\":\"What is the main topic of the seminar?\",\"answer\":\"The main topic of the seminar is the tight knot spectrum in Quantum Chromodynamics (QCD), exploring the physics of knots and links in various physical systems.\"},{\"question\":\"What are some examples of tight knots mentioned in the seminar within quantum physics?\",\"answer\":\"Examples of tight knots in quantum physics include QCD flux tubes, superconductors, superfluids, atomic condensates, and possibly cosmic strings.\"},{\"question\":\"How does plasma physics relate to tight knots in the context of this seminar?\",\"answer\":\"In plasma physics, tubes under tension contract to a minimum length determined by topology, similar to Taylor states, differing from QCD where the radius is fixed.\"}]","The Tight Knot Spectrum in QCD - Seminar at the University of Edinburgh 10 October 2012 | PDF",1789010868,222,{"code":4,"msg":32,"data":33},"ok",{"site_id":25,"language":24,"slug":34,"title":13,"keywords":35,"description":14,"schema_data":36,"social_meta":92,"head_meta":94,"extra_data":96,"updated_unix":29},"the-tight-knot-spectrum-in-qcd-seminar-at-the-university-of-edinburgh-10-october-2012","",{"@graph":37,"@context":91},[38,54,74],{"@type":39,"itemListElement":40},"BreadcrumbList",[41,45,48,51],{"item":42,"name":43,"@type":44,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":46,"name":47,"@type":44,"position":20},"https://docshare.wps.com/document/","Document",{"item":49,"name":12,"@type":44,"position":50},"https://docshare.wps.com/document/research-report/",3,{"item":52,"name":13,"@type":44,"position":53},"https://docshare.wps.com/document/the-tight-knot-spectrum-in-qcd-seminar-at-the-university-of-edinburgh-10-october-2012/227616/",4,{"url":52,"name":13,"@type":55,"image":56,"author":61,"headline":13,"publisher":63,"fileFormat":66,"inLanguage":24,"description":14,"dateModified":67,"datePublished":68,"encodingFormat":66,"isAccessibleForFree":69,"interactionStatistic":70},"DigitalDocument",{"url":57,"@type":58,"width":59,"height":60},"https://docshare.wps.com/thumbnails/the-tight-knot-spectrum-in-qcd-seminar-at-the-university-of-edinburgh-10-october-2012/227616.png","ImageObject",300,407,{"name":9,"@type":62},"Person",{"url":42,"name":64,"@type":65},"DocShare","Organization","application/pdf","2026-09-11","2026-09-10",true,{"@type":71,"interactionType":72,"userInteractionCount":20},"InteractionCounter",{"@type":73},"ViewAction",{"@type":75,"mainEntity":76},"FAQPage",[77,83,87],{"name":78,"@type":79,"acceptedAnswer":80},"What is the main topic of the seminar?","Question",{"text":81,"@type":82},"The main topic of the seminar is the tight knot spectrum in Quantum Chromodynamics (QCD), exploring the physics of knots and links in various physical systems.","Answer",{"name":84,"@type":79,"acceptedAnswer":85},"What are some examples of tight knots mentioned in the seminar within quantum physics?",{"text":86,"@type":82},"Examples of tight knots in quantum physics include QCD flux tubes, superconductors, superfluids, atomic condensates, and possibly cosmic strings.",{"name":88,"@type":79,"acceptedAnswer":89},"How does plasma physics relate to tight knots in the context of this seminar?",{"text":90,"@type":82},"In plasma physics, tubes under tension contract to a minimum length determined by topology, similar to Taylor states, differing from QCD where the radius is fixed.","https://schema.org",{"og:url":52,"og:type":93,"og:title":13,"og:site_name":64,"og:description":14},"article",{"robots":95,"canonical":52},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":98},[99,103,107,111,116,121,126,129,134,137,141],{"id":21,"doc_module":4,"doc_module_name":47,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":20,"doc_module":4,"doc_module_name":47,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":53,"doc_module":4,"doc_module_name":47,"category_name":108,"show_sort_weight":109,"slug":110},"Exam",70,"exam",{"id":112,"doc_module":4,"doc_module_name":47,"category_name":113,"show_sort_weight":114,"slug":115},5,"Comic",60,"comic",{"id":117,"doc_module":4,"doc_module_name":47,"category_name":118,"show_sort_weight":119,"slug":120},6,"Technology",50,"technology",{"id":122,"doc_module":4,"doc_module_name":47,"category_name":123,"show_sort_weight":124,"slug":125},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":47,"category_name":12,"show_sort_weight":127,"slug":128},30,"research-report",{"id":130,"doc_module":4,"doc_module_name":47,"category_name":131,"show_sort_weight":132,"slug":133},9,"Religion & Spirituality",20,"religion-spirituality",{"id":132,"doc_module":4,"doc_module_name":47,"category_name":135,"show_sort_weight":132,"slug":136},"World Cup","world-cup",{"id":138,"doc_module":4,"doc_module_name":47,"category_name":139,"show_sort_weight":138,"slug":140},10,"Lifestyle","lifestyle",{"id":142,"doc_module":4,"doc_module_name":47,"category_name":143,"show_sort_weight":112,"slug":144},19,"General","general"]