Renormalization group scaling in nonrelativistic QCD

@article{Luke2000RenormalizationGS,
  title={Renormalization group scaling in nonrelativistic QCD},
  author={M. Luke and A. Manohar and I. Rothstein},
  journal={Physical Review D},
  year={2000},
  volume={61},
  pages={074025}
}
  • M. Luke, A. Manohar, I. Rothstein
  • Published 2000
  • Physics
  • Physical Review D
  • We discuss the matching conditions and renormalization group evolution of non-relativistic QCD. A variant of the conventional $\overline{\mathrm{MS}}$ scheme is proposed in which a subtraction velocity $\ensuremath{\nu}$ is used rather than a subtraction scale $\ensuremath{\mu}.$ We derive a novel renormalization group equation in velocity space which can be used to sum logarithms of $v$ in the effective theory. We apply our method to several examples. In particular we show that our formulation… CONTINUE READING
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