English

Scaling Solutions in Continuous Dimension

High Energy Physics - Theory 2012-12-18 v2 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1204.3877,
  title  = {Scaling Solutions in Continuous Dimension},
  author = {A. Codello},
  journal= {arXiv preprint arXiv:1204.3877},
  year   = {2012}
}

Comments

5 pages, 5 figures, published version

R2 v1 2026-06-21T20:50:57.680Z