Year: 2021
Type: article
Abstract: The space of solutions of the exact renormalization group fixed point equations of the two-dimensional RP N −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 .
Authors: Youness Diouane, Noel Lamsen, Gesualdo Delfino
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W3120150765