2013/10/16 by M. E. Carrington, Wei‐jie Fu, Wei-Jie Fu +2
Engineering · Mathematics · Physics and Astronomy · #Action (physics) #Angular momentum #Black Holes and Theoretical Physics #Combinatorics #Coupling (piping) #Effective action #Engineering #Geometry #Graph #Mathematical physics #Mathematics #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quartic function #Scalar (mathematics) #Vertex (graph theory) #hep-ph
paper · pdf · doi:10.1103/physrevd.89.025013
published as Phys. Rev. D 89, 025013 (2014) · 17 pages, 10 figures
arxiv created 2013/10/16 · openalex publication_date 2014/01/21 · arxiv updated 2014/01/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a symmetric scalar theory with quartic coupling in two and three dimensions and compare the self-consistent four-point vertex obtained from the four-particle-irreducible effective action with the Bethe--Salpeter 4-vertex from the two-particle-irreducible effective action. At zero external momenta the two vertices agree well with each other when the coupling strength is small, but differences between them become more and more pronounced as the coupling strength is increased. We also study the momentum dependence of the two vertices and show that for certain momentum configurations they are almost identical but differ for general momentum arguments.