Matrix model formulation of LS-covariant noncommutative quantum field theories on Minkowski spacetime [Elektronische Ressource] / André Fischer

ersit?tMatrixDissertationMoDoktordelgebFzuroDr.rmulationys.ofinLS-CovavriantdesNoncommutativeQuantumnat.FieldonTheoFiscriesamon2010MinkHannooerwskiErlangungSpacetimeGradesDerderFhaftenakult?trer.f?rgenehmigteMathematikvundDipl-PhPhAndr?ysikherderorenGottfried14.09.1980WilhelmBielefeldLeibnizUnivderReferenattt:hardProf.EdinDr.Dr.OlafoersithTtenfeld10.2.2011(LeibnizUnivSzabersit?t(Heriot-WHannoUnivvyer)burgh)KagoreferenPromotion:t:Prof.AsmanifestlyIntothisthesisandwsimetheitsathedels,ofthenoncommeynmanutativoeproquanbtumandeldrenormalizationtheoriesspacetimeoneMinkarianoviawskitospacetimeIR-regularizationviaeepinganqualitanalyticaltheresptinisuationinofeld.thepofGrosse-WtoulkwenhaarinandandLSZKeywmoTheorydels,owhictheorieshmoaregeneralizationdenedbasis,boseyUV-athepwhileerturbativLS-dualiteAsettingonbasedspacetimeonymoacuumdiedtoFwhiceynmantodiagrams.ofarianceofthetheseetheoriesonisetheunitaritscatteringofrstaardstheset,derivexternalondingoeld,pwhicrepresenhtheirrendersNoncommtheirtumultraMatrixviolettheandvinfraredtregimesonindistin-matrixguishable.