English

Asymptotic Charges and Coherent States in QCD

High Energy Physics - Theory 2021-09-28 v4

Abstract

We study the connection between asymptotic symmetries in non-Abelian gauge theories and the generalised coherent states following from the application to QCD of the Faddeev-Kulish approach to asymptotic dynamics. We compute the large gauge transformation properties of the soft evolution operators and use this to define the quantum corrected, non-linear contribution to the asymptotic charges. We then compute the one-loop, leading IR-divergent, correction to matrix elements of the charges inserted between dressed scattering states and show that the results depend on a particular order of soft limits. For one choice of ordering we find that the conservation law for the asymptotic charges is not corrected, while for a second we find a correction proportional to the one-loop soft current.

Keywords

Cite

@article{arxiv.1906.11763,
  title  = {Asymptotic Charges and Coherent States in QCD},
  author = {Riccardo Gonzo and Tristan McLoughlin and Diego Medrano and Anne Spiering},
  journal= {arXiv preprint arXiv:1906.11763},
  year   = {2021}
}

Comments

28 pages, 11 figures; v4:matches published version