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

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

2008-12-16

arxiv.org/abs/0812.3074v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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.

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