Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002189274> ?p ?o ?g. }
- W2002189274 abstract "The gauge-invariant three-gluon vertex obtained from the pinch technique is characterized by thirteen nonzero form factors, which are given in complete generality for unbroken gauge theory at one loop. The results are given in $d$ dimensions using both dimensional regularization and dimensional reduction, including the effects of massless gluons and arbitrary representations of massive gauge bosons, fermions, and scalars. We find interesting relations between the functional forms of the contributions from gauge bosons, fermions, and scalars. These relations hold only for the gauge-invariant pinch technique vertex and are d-dimensional incarnations of supersymmetric nonrenormalization theorems which include finite terms. The form factors are shown to simplify for $N=1,2$, and 4 supersymmetry in various dimensions. In four-dimensional non-supersymmetric theories, eight of the form factors have the same functional form for massless gluons, quarks, and scalars, when written in a physically motivated tensor basis. For QCD, these include the tree-level tensor structure which has prefactor $beta_0=(11N_c-2N_f)/3$, another tensor with prefactor $4N_c-N_f$, and six tensors with $N_c-N_f$. In perturbative calculations our results lead naturally to an effective coupling for the three-gluon vertex which depends on three momenta and gives rise to an effective scale which governs the behavior of the vertex. The effects of nonzero internal masses are important and have a complicated threshold and pseudo-threshold structure. The results of this paper are an important part of a gauge-invariant dressed skeleton expansion and a related multi-scale analytic renormalization scheme. In this approach the scale ambiguity problem is resolved since physical kinematic invariants determine the arguments of the couplings." @default.
- W2002189274 created "2016-06-24" @default.
- W2002189274 creator A5056236658 @default.
- W2002189274 creator A5081930054 @default.
- W2002189274 date "2006-09-11" @default.
- W2002189274 modified "2023-09-25" @default.
- W2002189274 title "Form factors of the gauge-invariant three-gluon vertex" @default.
- W2002189274 cites W1556533740 @default.
- W2002189274 cites W1965387212 @default.
- W2002189274 cites W1965610756 @default.
- W2002189274 cites W1966892228 @default.
- W2002189274 cites W1975893766 @default.
- W2002189274 cites W1984766414 @default.
- W2002189274 cites W1985829802 @default.
- W2002189274 cites W1986462983 @default.
- W2002189274 cites W1987818850 @default.
- W2002189274 cites W1998179497 @default.
- W2002189274 cites W2000360436 @default.
- W2002189274 cites W2000529854 @default.
- W2002189274 cites W2000617979 @default.
- W2002189274 cites W2007182612 @default.
- W2002189274 cites W2015530957 @default.
- W2002189274 cites W2021404114 @default.
- W2002189274 cites W2023506504 @default.
- W2002189274 cites W2027597249 @default.
- W2002189274 cites W2028534480 @default.
- W2002189274 cites W2033222342 @default.
- W2002189274 cites W2037253349 @default.
- W2002189274 cites W2038631347 @default.
- W2002189274 cites W2042532163 @default.
- W2002189274 cites W2049372404 @default.
- W2002189274 cites W2053136962 @default.
- W2002189274 cites W2057150219 @default.
- W2002189274 cites W2070674271 @default.
- W2002189274 cites W2074358227 @default.
- W2002189274 cites W2076345023 @default.
- W2002189274 cites W2077230640 @default.
- W2002189274 cites W2078624491 @default.
- W2002189274 cites W2080500755 @default.
- W2002189274 cites W2093944979 @default.
- W2002189274 cites W2097343631 @default.
- W2002189274 cites W2116659902 @default.
- W2002189274 cites W2122186317 @default.
- W2002189274 cites W2129394344 @default.
- W2002189274 cites W2136213266 @default.
- W2002189274 cites W2152756890 @default.
- W2002189274 cites W2159013276 @default.
- W2002189274 cites W2161600334 @default.
- W2002189274 cites W2162431392 @default.
- W2002189274 cites W2170279816 @default.
- W2002189274 cites W2182848026 @default.
- W2002189274 cites W2323491721 @default.
- W2002189274 cites W2737181389 @default.
- W2002189274 cites W3100671599 @default.
- W2002189274 cites W3101761135 @default.
- W2002189274 cites W3104185657 @default.
- W2002189274 cites W3104847000 @default.
- W2002189274 cites W3105335904 @default.
- W2002189274 cites W3105732054 @default.
- W2002189274 cites W3122855153 @default.
- W2002189274 cites W4210957328 @default.
- W2002189274 cites W4246435347 @default.
- W2002189274 doi "https://doi.org/10.1103/physrevd.74.054016" @default.
- W2002189274 hasPublicationYear "2006" @default.
- W2002189274 type Work @default.
- W2002189274 sameAs 2002189274 @default.
- W2002189274 citedByCount "56" @default.
- W2002189274 countsByYear W20021892742012 @default.
- W2002189274 countsByYear W20021892742013 @default.
- W2002189274 countsByYear W20021892742014 @default.
- W2002189274 countsByYear W20021892742015 @default.
- W2002189274 countsByYear W20021892742016 @default.
- W2002189274 countsByYear W20021892742017 @default.
- W2002189274 countsByYear W20021892742018 @default.
- W2002189274 countsByYear W20021892742019 @default.
- W2002189274 countsByYear W20021892742020 @default.
- W2002189274 countsByYear W20021892742021 @default.
- W2002189274 countsByYear W20021892742023 @default.
- W2002189274 crossrefType "journal-article" @default.
- W2002189274 hasAuthorship W2002189274A5056236658 @default.
- W2002189274 hasAuthorship W2002189274A5081930054 @default.
- W2002189274 hasBestOaLocation W20021892742 @default.
- W2002189274 hasConcept C109214941 @default.
- W2002189274 hasConcept C116674579 @default.
- W2002189274 hasConcept C117137515 @default.
- W2002189274 hasConcept C121332964 @default.
- W2002189274 hasConcept C123579102 @default.
- W2002189274 hasConcept C181830111 @default.
- W2002189274 hasConcept C37914503 @default.
- W2002189274 hasConcept C40263606 @default.
- W2002189274 hasConcept C54937798 @default.
- W2002189274 hasConcept C65266758 @default.
- W2002189274 hasConceptScore W2002189274C109214941 @default.
- W2002189274 hasConceptScore W2002189274C116674579 @default.
- W2002189274 hasConceptScore W2002189274C117137515 @default.
- W2002189274 hasConceptScore W2002189274C121332964 @default.
- W2002189274 hasConceptScore W2002189274C123579102 @default.
- W2002189274 hasConceptScore W2002189274C181830111 @default.
- W2002189274 hasConceptScore W2002189274C37914503 @default.
- W2002189274 hasConceptScore W2002189274C40263606 @default.