Scaling Solutions in Continuous Dimension
arXiv:1204.3877 · doi:10.1088/1751-8113/45/46/465006
Abstract
We study scaling solutions of the RG flow equation for the Z_2-effective potential in continuous dimension. As the dimension is lowered from d=4 we first observe the appearance of the Ising scaling solution and successively the apparence of multi-critical scaling solutions of arbitrary order. Approaching d=2 these multi-critical scaling solutions converge to the unitary minimal models found in CFT.
5 pages, 5 figures, published version