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A Compact Representation of the Three-Gluon Vertex

2012/06/08 by Naser Ahmadiniaz, N. Ahmadiniaz, Ahmadiniaz, N. +3
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1206.1843

6 pages, 1 figure. Talk given by N. Ahmadiniaz at the 3rd Young Researchers Workshop "Physics Challenges in the LHC Era", Frascati, May 7 and 10, 2012

arxiv created 2012/06/08 · openalex publication_date 2012/06/08 · arxiv updated 2012/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The three-gluon vertex is a basic object of interest in nonabelian gauge theory. It contains important structural information, in particular on infrared divergences, and also figures prominently in the Schwinger-Dyson equations. At the one-loop level, it has been calculated and analyzed by a number of authors. Here we use the worldline formalism to unify the calculations of the scalar, spinor and gluon loop contributions to the one-loop vertex, leading to an extremely compact representation. The SUSY - related sum rule found by Binger and Brodsky follows from an off-shell extension of the Bern-Kosower replacement rules. We explain the relation of the structure of our representation to the low-energy effective action.

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