Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-11
Nucl.Phys. B519 (1998) 551-578
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, latex
Scientific paper
10.1016/S0550-3213(98)00144-8
We consider the scaling limit of the two-dimensional $q$-state Potts model for $q\leq 4$. We use the exact scattering theory proposed by Chim and Zamolodchikov to determine the one and two-kink form factors of the energy, order and disorder operators in the model. Correlation functions and universal combinations of critical amplitudes are then computed within the two-kink approximation in the form factor approach. Very good agreement is found whenever comparison with exact results is possible. We finally consider the limit $q\to 1$ which is related to the isotropic percolation problem. Although this case presents a serious technical difficulty, we predict a value close to 74 for the ratio of the mean cluster size amplitudes above and below the percolation threshold. Previous estimates for this quantity range from 14 to 220.
Cardy John L.
Delfino Gesualdo
No associations
LandOfFree
Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-527392