Correlation function of four spins in the percolation model

Vladimir S. Dotsenko (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

By using the Coulomb gas technics we calculate the four-spin correlation function in the percolation q → 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 σ = 5 96 , produce a new channel, in the 4-point function, which is due to the operator with dimension = 5/8.

Domaines: Physique [physics]

Vladimir S. Dotsenko. Correlation function of four spins in the percolation model. Nuclear Physics B, 2016, 911, pp.712 - 743. ⟨10.1016/j.nuclphysb.2016.08.032⟩. ⟨hal-01391587⟩