LABORATOIRE DE PHYSIQUE THEORIQUE DE LA MATIERE CONDENSEE

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.

reference: https://arxiv.org/pdf/1707.03410.pdf