Oddelenie komplexnch fyziklnych systmovFyziklny stav SAVBratislava
Dokonal przdnota take se vlastn hovo o niem(Stanisaw Lem, Doskonaa prnia, Krakw 1974, es. Dokonal przdnota, Svoboda, Praha 1983)
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ObsahMendelejevova tabuka fyziky astcVlet po Wikipedii so sprievodcomFarbaKalibran teriaKvantov elektrodynamikaKvantov chromodynamikaAsymptotick vonosUvznenie farbyNakkanie do vkua QCDVkuov stav kvantovej teriePreo ns zaujma vkuov stav?Kalibran polia na mriekeWilsonovo kritrium uvzneniaModely uvznenia farby v QCDGribovovZwanzigerov mechanizmusProblm casimirovskho klovaniaUvznenie v G(2)-kalibranej teriiVkuov funkcionl v QCD v rovineSvetl budcnos?
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Z web-strnok Dereka Leinwebera
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Preo ns zaujma vkuov stav?Podstatn informcia sa skrva vo vkuovch strednch hodnotch pol:
Formulcia cez drhov integrly:
Wickova rotcia:
Praktick vpoet: iba na mrieke.
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Prklad
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Kalibran polia na mriekeFyziklne premenn:
Tenzor poa:
Kalibran invariantnos:
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inok pre kalibran polia:
Greenove funkcie:
ist SU(2) gluodynamika: skmame teriu bez dynamickch kvarkov s dvoma farbami.
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Wilsonovo kritrium uvzneniaWilsonova sluka:
Wilsonovo kritrium uvznenia:
Medzikvarkov potencil a strunov naptie:
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Centrlna symetria a uvznenie kvarkovDodaton symetria QCD bez kvarkov:
Poljakovova sluka nie je invariantn:
Na konenej mrieke, =0, ale:
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Modely uvznenia farby v QCD Prv prstup: snai sa nahradi konfigurcie kalibranch pol [SU(N) matice na spojoch mrieky] niem jednoduchm, o reprodukuje podstatn javy fyziky uvznenia:Abelovsk monoply.Centrlne vortexy.Instantny.Merny.Druh prstup: hada, ak as konfiguranho priestoru kalibranej terie spsobuje nekonen energiu izolovanch farebnch nbojov a linerny rast potencilu medzi statickm kvarkom a antikvarkom.GribovovZwanzigerov mechanizmus.KugovoOjimovo kritrium.(http://www.wolfram.com)
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The Blind Men and the Elephant
It was six men of Indostan To learning much inclined, Who went to see the Elephant(Though all of them were blind), That each by observationMight satisfy his mind
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John Godfrey Saxe (1816-1887), americk bsnik
Moral:So oft in theologic wars,The disputants, I ween, Rail on in utter ignoranceOf what each other mean, And prate about an ElephantNot one of them has seen!
[Nahradi: theologic scientific?]
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Hadanie vkuovho vlnovho funkcionlu QCD v rovineUvznenie je zakdovan vo vlastnostiach vkua neabelovskej kvantovej kalibranej terie. V hamiltonovskej formulcii v D=d+1 rozmeroch a v tzv. asovej (temporlnej) kalibrcii:
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N nvrh
Samuel (1996), Diakonov (unpublished)Greensite, O (2007)
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N nvrh je rieenm YM Schrdin-gerovej rovnice v limite g idceho k 0.Spa YM Schrdingerovu rovnicu pre siln kontantn polia.Vykazuje vlastnos uvznenia pre pozitvne hodnoty parametra m, priom pozitvna hodnota m je energeticky preferovan.Vyvinuli sme metdu, ktor umouje pravdepodobnostn rozdelenie, vyplvajce z navrhnutho vlnovho funkcionlu, simulova numericky.Takto simulcie ved k sprvnym hodnotm pomeru medzi strunovm naptm a hmotnosou najahieho glunia.
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