Preprint
arXiv:2101.03075
Abstract
The space of solutions of the exact renormalization group fixed point equations of the two-dimensional
RPᴺ⁻¹ 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.
