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Lam, CS
Pfaffian diagrams for gluon tree amplitudes
Source PublicationPHYSICAL REVIEW D
AbstractPfaffian diagrams are formulated to represent gluon amplitudes computed from the Cachazo-He-Yuan (CHY) formula. They may be regarded as a systematic regrouping of Feynman diagrams after internal momenta are expanded and products of vertex factors are evaluated. This reprocessing enables gluon amplitudes expressed in Pfaffian diagrams to contain fewer terms. For example, there are 19 terms for the four-point amplitude in Pfaffian diagrams and 35 terms in Feynman diagrams. Gauge invariance is simpler and more explicit in Pfaffian diagrams, in that the subset of diagrams with the same root configuration is already gauge invariant in all lines but two. In getting to these results, several technical difficulties must be overcome. Double poles must be converted to simple poles, integrations must be carried out directly and formulated into simple rules, and the three Mobius constant lines must be suitably chosen to minimize the number of terms present.
Subject AreaAstronomy & Astrophysics ; Physics
MOST Discipline CatalogueAstronomy & Astrophysics ; Physics, Particles & Fields
Indexed BySCIE
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Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.[Lam, C. S.] McGill Univ Montreal, Dept Phys, Montreal, PQ H3A 2T8, Canada
2.[Lam, C. S.] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
3.[Lam, C. S.] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Lam, CS. Pfaffian diagrams for gluon tree amplitudes[J]. PHYSICAL REVIEW D,2018,98(7):76002.
APA Lam, CS.(2018).Pfaffian diagrams for gluon tree amplitudes.PHYSICAL REVIEW D,98(7),76002.
MLA Lam, CS."Pfaffian diagrams for gluon tree amplitudes".PHYSICAL REVIEW D 98.7(2018):76002.
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