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BELOKOROV-USYUKINA LOOP REDUCTION IN NON -INTEGER DIMENSION.

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dc.creatorIGOR NIKOLAEVICH KONDRACHOUK
dc.date2013
dc.date.accessioned2025-01-10T14:32:47Z
dc.date.available2025-01-10T14:32:47Z
dc.date.issued2013
dc.description.abstractBELOKUROV-USYUKINA LOOP REDUCTION METHOD HAS BEEN PROPOSED IN 1983 TO REDUCE A NUMBER OF RUNGS IN TRIANGLE LADDER-LIKE DIAGRAM BY ONE. THE DISADVANTAGE OF THE METHOD IS THAT IT WORKS IN D = 4 DIMENSIONS ONLY AND IT CANNOT BE USED FOR CALCULATION OF AMPLITUDES IN FIELD THEORY IN WHICH WE ARE REQUIRED TO PUT ALL THE INCOMING AND OUTGOING MOMENTA ON SHELL. WE GENERALIZE THE BELOKUROV-USYUKINA LOOP REDUCTION TECHNIQUE TO NON-INTEGER D = 4 ? 2? DIMENSIONS. IN THIS PAPER WE SHOW HOW A TWO-LOOP TRIANGLE DIAGRAM WITH PARTICULAR VALUES OF INDICES OF SCALAR PROPAGATORS IN THE POSITION SPACE CAN BE REDUCED TO A COMBINATION OF THREE ONE-LOOP SCALAR DIAGRAMS. IT IS KNOWN THAT ANY ONE-LOOP MASSLESS MOMENTUM INTEGRAL CAN BE PRESENTED IN TERMS OF APPELL?S FUNCTION F 4. THIS MEANS THAT PARTICULAR DIAGRAM CONSIDERED IN THE PRESENT PAPER CAN BE REPRESENTED IN TERMS OF APPELL?S FUNCTION F 4 TOO. SUCH A GENERALIZATION OF BELOKUROV-USYUKINA LOOP REDUCTION TECHNIQUE ALLOWS US TO CALCULATE THAT DIAGRAM BY THIS METHOD EXACTLY WITHOUT DECOMPOSITION IN TERMS OF THE PARAMETER ?.
dc.formatapplication/pdf
dc.identifier.doi10.1134/S1063779613020135
dc.identifier.issn1531-8559
dc.identifier.issn1063-7796
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7900
dc.languagespa
dc.publisherPHYSICS OF PARTICLES AND NUCLEI
dc.relation.uri10.1134/S1063779613020135
dc.rightsPUBLICADA
dc.titleBELOKOROV-USYUKINA LOOP REDUCTION IN NON -INTEGER DIMENSION.
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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