Renormalization group flows for the second $\mathbb{Z}_{N}$ parafermionic field theory for $N$ even

Benoit Estienne (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Extending the results obtained in the case $N$ odd, the effect of slightly relevant perturbations of the second parafermionic field theory with the symmetry $\mathbb{Z}_{N}$, for $N$ even, are studied. The renormalization group equations, and their infra red fixed points exhibit the same structure in both cases. In addition to the standard flow from the $p$-th to the $(p-2)$-th model, another fixed point corresponding to the $(p-1)$-th model is found.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Mécanique statistique [cond-mat.stat-mech]

Benoit Estienne. Renormalization group flows for the second $\mathbb{Z}_{N}$ parafermionic field theory for $N$ even. 2008. ⟨hal-00347707⟩