When does the gluon reggeize?

By S. Caron-Huot. 2013

142 citations recorded by the source corpus.

A bstractWe 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 reference at all to the concept of “reggeized gluon.” Rather, one can work directly with a finite, process-dependent, number of Wilson lines. We demonstrate consistency of this proposal by an exact computation in N=4 super Yang-Mills, which shows that in processes mediated with two Wilson lines the reggeized gluon appears in the weak coupling limit as a resonance whose width is proportional to the coupling. We also provide a precise operator definition of Lipatov’s integrable spin chain, which is manifestly integrable at any value of the coupling as a result of the duality between scattering amplitudes and Wilson loops in this theory.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4c742c3d1ea05f332739c0d6eedd54ab5b438a12

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In Nuclear and High Energy Physics

Citations in the corpus

Introduction to Soft-Collinear Effective Theory (2014, background): “ are additional constraints which are not yet known. Indeed, a recent paper claims evidence for the presence of four-loop terms which violate the conjecture, based on a computation in the Regge limit [96]. Before discussing the constraints on the anomalous dimension, we derive the Z-factor which fol”
An effective field theory for forward scattering and factorization violation (2016, background): “The structure of the BJIMWLK evolution of Wilson lines at higher orders has been analyzed in [15].”
Light-ray operators in conformal field theory (2018, methodology): “os χ,χis the continuation of χaround 1. In both cases, we take χ,χ→ 0. This is because the Regge limit resembles an OPE limit between points in diﬀerent Poincare patches. This observation was made in [37]. Speciﬁcally, the conﬁguration in ﬁgure 11 is related by a boost to the one in ﬁgure 13. The Re”
New symmetries of massless QED (2014, unknown): “Such gauge transformations were considered in [33].”