English

Correlation function of four spins in the percolation model

High Energy Physics - Theory 2017-03-24 v2 Statistical Mechanics

Abstract

By using the Coulomb gas technics we calculate the four-spin correlation function in the percolation q1q\rightarrow 1 limit of the Potts model. It is known that the four-point functions define the actual fusion rules of a particular model. In this respect, we find that fusion of two spins, of dimension Δσ=596\Delta_{\sigma}=\frac{5}{96}, produce a new channel, in the 4-point function, which is due to the operator with dimension Δ=5/8\Delta=5/8.

Keywords

Cite

@article{arxiv.1606.09162,
  title  = {Correlation function of four spins in the percolation model},
  author = {Vladimir S. Dotsenko},
  journal= {arXiv preprint arXiv:1606.09162},
  year   = {2017}
}

Comments

45 pages, no figures, Abstract and Introduction extended, agrees with the journal version

R2 v1 2026-06-22T14:38:35.941Z