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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{altinoluk2026quark,
  title = {{Quark Reggeization in QCD from the Wilson line formalism}},
  author = {Tolga Altinoluk and Guillaume Beuf and Jules Favrel and Michael Fucilla},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.25685},
  eprint = {2606.25685},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.25685},
}
RIS
TY  - UNPB
TI  - Quark Reggeization in QCD from the Wilson line formalism
AU  - Tolga Altinoluk
AU  - Guillaume Beuf
AU  - Jules Favrel
AU  - Michael Fucilla
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2606.25685
UR  - https://arxiv.org/abs/2606.25685
AB  - 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.
ER  -