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arXiv · 1705.02927

5-Point 1PI Proper Vertex Function of Gluon and the S-Matrix Element

Gouranga C Nayak
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Abstract

As far as the renormalization in perturbative QCD is concerned the n-point one particle irreducible (1PI) proper vertex function is the basic building block where the ultra-violet (UV) divergence occurs when the loop momentum integration limit goes to infinity. In this paper we express the S-matrix element for the $gg \rightarrow ggg$ scattering process at all orders in coupling constant in terms of 5-point, 4-point, 3-point 1PI proper vertex functions and the (full) propagator by using the path integral formulation of QCD.

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Gouranga C Nayak. 2017-05-08. 5-Point 1PI Proper Vertex Function of Gluon and the S-Matrix Element. https://arxiv.org/abs/1705.02927

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