2002/11/30 by Dmitri Melikhov, D. Melikhov, S. Simula +1 · 8 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Complex plane #Cone (formal languages) #Feynman diagram #Geometry #Gravitational singularity #Invariant (physics) #Light cone #Lorentz covariance #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph #nucl-th
paper · pdf · doi:10.1016/s0370-2693(03)00124-2
published in Physics Letters B 556(3-4), 135-141 (Elsevier BV) · final version to appear in PLB; few references added
arxiv created 2003/01/27 · openalex publication_date 2003/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that some Lorentz components of the Feynman integrals calculated in terms of the light-cone variables may contain end-point singularities which originate from the contribution of the big-circle integral in the complex k_ plane. These singularities appear in various types of diagrams (two-point functions, three-point functions, etc) and provide the covariance of the Feynman integrals on the light-cone. We propose a procedure for calculating Feynman integrals which guarantees that the end-point singularities do not appear in the light-cone representations of the invariant amplitudes.