Eight dimensional QCD at one loop

  title={Eight dimensional QCD at one loop},
  author={John A. Gracey},
  journal={Physical Review D},
  • J. Gracey
  • Published 7 December 2017
  • Physics
  • Physical Review D
The Lagrangian for a non-abelian gauge theory with an $SU(N_{\! c})$ symmetry and a linear covariant gauge fixing is constructed in eight dimensions. The renormalization group functions are computed at one loop with the special cases of $N_{\! c}$ $=$ $2$ and $3$ treated separately. By computing the critical exponents derived from these in the large $N_{\! f}$ expansion at the Wilson-Fisher fixed point it is shown that the Lagrangian is in the same universality class as the two dimensional non… 

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