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End-point singularities of Feynman graphs on the light cone

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arxiv hep-ph/0211277 v2 pith:JDV7A6AI submitted 2002-11-18 hep-ph nucl-th

classification hep-phnucl-th
keywords feynmansingularitiesend-pointintegralslight-coneappearfunctionsamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Adding an antinucleon Fock component, even at only ~2% probability, dramatically reduces the frame dependence of the charge form factor in strongly coupled scalar Yukawa theory on the light front.

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