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EXPLICIT SOLUTIONS FOR EFFECTIVE FOUR- AND FIVE-LOOP QCD RUNNING COUPLING

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dc.creatorIGOR NIKOLAEVICH KONDRACHOUK
dc.date2011
dc.date.accessioned2025-01-10T14:39:42Z
dc.date.available2025-01-10T14:39:42Z
dc.date.issued2011
dc.description.abstractWE START WITH THE EXPLICIT SOLUTION, IN TERMS OF THE LAMBERT W FUNCTION, OF THE RENORMALIZATION GROUP EQUATION (RGE) FOR THE GAUGE COUPLING IN THE SUPERSYMMETRIC YANG-MILLS THEORY DESCRIBED BY THE WELL-KNOWN BETA FUNCTION OF NOVIKOV ET AL.(NSVZ). WE THEN CONSTRUCT A CLASS OF BETA FUNCTIONS FOR WHICH THE RGE CAN BE SOLVED IN TERMS OF THE LAMBERT W FUNCTION. THESE BETA FUNCTIONS ARE EXPRESSED IN TERMS OF A FUNCTION WHICH IS A TRUNCATED LAURENT SERIES IN THE INVERSE OF THE GAUGE COUPLING. THE PARAMETERS IN THE LAURENT SERIES CAN BE ADJUSTED SO THAT THE FIRST COEFFICIENTS OF THE TAYLOR EXPANSION OF THE BETA FUNCTION IN THE GAUGE COUPLING REPRODUCE THE FOUR-LOOP OR FIVE-LOOP QCD (OR SQCD) BETA FUNCTION.
dc.formatapplication/pdf
dc.identifier.doi10.1007/JHEP12(2011)019
dc.identifier.issn1126-6708
dc.identifier.issn1029-8479
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8408
dc.languagespa
dc.publisherJOURNAL OF HIGH ENERGY PHYSICS
dc.relation.uri10.1007/JHEP12(2011)019
dc.rightsPUBLICADA
dc.titleEXPLICIT SOLUTIONS FOR EFFECTIVE FOUR- AND FIVE-LOOP QCD RUNNING COUPLING
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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