Logarithmic correlations in the critical 2d Ising model
by
Jacopo Viti
→
Europe/Rome
281
281
Description
I'll briefly review how conformal techniques can be applied to calculate geometrical observables in 2d critical statistical models. Typical examples include crossing probabilities and connectivies in percolation and the Q-state Potts model. I'll then show a concrete example for the Ising model, in which a four point connectivity can be exactly determined and compared against Monte-Carlo simulations. The example is particularly relavant because it provides a rare instance of a logarithmic singularity in a conformal invariant quantum field theory.
Joint work with G. Gori (SISSA), arXiv:1704.02893, Phys. Rev. Lett. 119, 191601 (2017)