The triple Pomeron vertex in large-N QCD and the pair-of-pants topology

TL;DR

This paper explores the high energy behavior of QCD with different surface topologies, re-deriving the triple Pomeron vertex in the pair-of-pants topology and connecting it to Mandelstam diagrams.

Contribution

It introduces a new derivation of the triple Pomeron vertex in the pair-of-pants topology within large-N QCD, linking it to specific color graphs and Mandelstam diagrams.

Findings

Re-derivation of the triple Pomeron vertex function.

Identification of the vertex as a specific set of color graphs.

Connection of the vertex to the Mandelstam diagram.

Abstract

We investigate the high energy behavior of QCD for different surface topologies of color graphs. After a brief review of the planar limit (bootstrap and gluon reggeization) and of the cylinder topology (BFKL) we investigate the 3 -> 3 scattering in the triple Regge limit which belongs to the pair-of-pants topology. We re-derive the triple Pomeron vertex function and show that it belongs to a specific set of graphs in color space which we identify as the analogue of the Mandelstam diagram.