When does the gluon reggeize?
Simon Caron-Huot

TL;DR
This paper uses the eikonal approximation to analyze gluon reggeization in high-energy processes, revealing new insights into BFKL dynamics and proposing a Wilson line-based approach that avoids the concept of reggeized gluons.
Contribution
It introduces a Wilson line framework for high-energy QCD processes that bypasses the traditional reggeized gluon concept, supported by exact computations in N=4 super Yang-Mills.
Findings
Gluon reggeization can be understood via the eikonal approach.
Starting from four loops, BFKL dynamics conflict with certain infrared divergence conjectures.
In N=4 SYM, reggeized gluons appear as resonances with width proportional to coupling.
Abstract
We propose the eikonal approximation as a simple and reliable tool to analyze relativistic high-energy processes, provided that the necessary subtleties are accounted for. An important subtlety is the need to include eikonal phases for a rapidity-dependent collection of particles, as embodied by the Balitsky-JIMWLK rapidity evolution equation. In the first part of this paper, we review how the phenomenon of gluon reggeization and the BFKL equations can be understood simply (but not too simply) in the eikonal approach. We also work out some previously overlooked implications of BFKL dynamics, including the observation that starting from four loops it is incompatible with a recent conjecture regarding the structure of infrared divergences. In the second part of this paper, we propose that in the strict planar limit the theory can be developed to all orders in the coupling with no…
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Taxonomy
TopicsHigh-Energy Particle Collisions Research · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions
