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arXiv · 2606.25685

Quark Reggeization in QCD from the Wilson line formalism

Tolga Altinoluk·Guillaume Beuf·Jules Favrel·Michael Fucilla
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Abstract

We establish a Wilson-line formulation of quark Reggeization in QCD. An interpolating operator for the Reggeized quark is identified in terms of semi-infinite Wilson lines, and its nonlinear rapidity evolution is derived. We provide strong evidence that this operator remains an eigenstate of the rapidity evolution up to next-to-leading logarithmic accuracy. Within the leading logarithmic accuracy, we explicitly recover the one-loop quark Regge trajectory. Our results provide a first-principles operator framework for quark Reggeization and pave the way for a systematic all-order description of high-energy QCD amplitudes with $t$-channel quark exchange in terms of Wilson lines.

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Tolga Altinoluk, Guillaume Beuf, Jules Favrel, Michael Fucilla. 2026-06-24. Quark Reggeization in QCD from the Wilson line formalism. https://arxiv.org/abs/2606.25685

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