• DOI:10.1103/PhysRevD.95.025029
• Corpus ID: 119230485

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}
}

• J. Gracey, R. Simms
• Published 13 January 2017
• Physics
• Physical Review D

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 theory. Having established this connection we analyse the fixed point structure of the perturbative renormalization group functions to estimate the location of the conformal window of the $O(N)$ $\times$ $O(2)$ model.