Scaling solutions in a continuous dimension

@article{Codello2012ScalingSI,
  title={Scaling solutions in a continuous dimension},
  author={Alessandro Codello},
  journal={Journal of Physics A},
  year={2012},
  volume={45},
  pages={465006}
}
  • A. Codello
  • Published 17 April 2012
  • Physics
  • Journal of Physics A
We study scaling solutions of the RG flow equation for -effective potentials in a continuous dimension d ⩾ 2. As the dimension is lowered from d = 4 we first observe the appearance of the Ising scaling solution and successively the appearance of multi-critical scaling solutions of arbitrary order. Approaching d = 2 these multi-critical scaling solutions converge to the unitary minimal models found in conformal field theory. 

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