@article{bibcite_966, author = {Youness Diouane and Noel M. Lamsen and Gesualdo Delfino}, title = {Critical points in the RPᴺ$^{-}${\textonesuperior} model}, abstract = {

The space of solutions of the exact renormalization group fixed point equations of the two-dimensional RPᴺ$^{-}${\textonesuperior} model, which we recently obtained within the scale invariant scattering framework, is explored for continuous values of N >= 0. Quasi-long-range order occurs only for N = 2, and allows for several lines of fixed points meeting at the Berezinskii-Kosterlitz-Thouless transition point. A rich pattern of fixed points is present below N* = 2.244 21..., while only zero temperature criticality in the O(N(N + 1)/2 - 1) universality class can occur above this value. The interpretation of an extra solution at N = 3 requires the identification of a path to criticality specific to this value of N.

}, year = {2021}, journal = {J. Stat. Mech. Theor. Exp.}, volume = {2021}, pages = {033214}, url = {https://iopscience.iop.org/article/10.1088/1742-5468/abe6fc}, doi = {10.1088/1742-5468/abe6fc}, }