Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions

@inproceedings{Shrock2014StudyOP,
  title={Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions},
  author={Robert Rakes Shrock},
  year={2014}
}
  • Robert Rakes Shrock
  • Published 2014
  • Physics
  • We study the possibility of an ultraviolet (UV) zero in the $n$-loop beta function of U(1) and non-Abelian gauge theories with $N_f$ fermions for large $N_f$. The effect of scheme transformations on the coefficients of different powers of $N_f$ in the $n$-loop term in the beta function is calculated. A general scheme-independent criterion is given for determining whether or not the $n$-loop beta function has a UV zero for large $N_f$. We compare the results with exact integral representations… CONTINUE READING

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