Critical points in the RPN−1 model. Issue 3 (18th March 2021)

• Record Type: Journal Article
• Authors: Diouane, Youness; Lamsen, Noel; Delfino, Gesualdo
• Is Part Of: Journal of statistical mechanics. Issue 3(2021)
• Publication Date: 2021-03-18
• Subjects: classical phase transitions -- exact results; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/abe6fc
• Languages: English
• ISSNs: 1742-5468

Abstract

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 .