Six dimensional Landau-Ginzburg-Wilson theory

@article{Gracey2017SixDL,
  title={Six dimensional Landau-Ginzburg-Wilson theory},
  author={John A. Gracey and Robert M. Simms},
  journal={Physical Review D},
  year={2017},
  volume={95},
  pages={025029}
}
We renormalize the six dimensional cubic theory with an $O(N)$ $\times$ $O(m)$ symmetry at three loops in the modified minimal subtraction (MSbar) scheme. The theory lies in the same universality class as the four dimensional Landau-Ginzburg-Wilson model. As a check we show that the critical exponents derived from the three loop renormalization group functions at the Wilson-Fisher fixed point are in agreement with the large $N$ $d$-dimensional critical exponents of the underlying universal… 

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