Riccardo Ben Ali Zinati
Etudiant en thèse à la Sissa de Trieste
Functional RG approach to the Potts model
This talk is intended to be a detailed presentation of the nprg approach to the Potts model. I will first introduce the model, its symmetry and a useful representation in terms of the hypertetrahedron (simplex) symmetry group.
I will then exploit this geometric approach to construct the corresponding field theory, i.e. the field theory for an n-component scalar with discrete global symmetry S_(n+1). I finally turn to the implementation of the nprg for the Potts field theory and develop two approximations: an algorithm to compute the beta functions of power interactions for arbitrary n and the LPA for fixed n, both in arbitrary dimension.
I conclude giving some results with particular attention to Percolation and Spanning forest universality classes and draw some perspectives on future possible applications.