Author:
Diouane Youness,Lamsen Noel,Delfino Gesualdo
Abstract
Abstract
We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional CP
N−1 model, for N real. Also due to special degeneracies at N = 2 and 3, the space of solutions for N ⩾ 2 reduces to that of the O(N
2 − 1) model, and accounts for a zero temperature critical point. For N < 2 the space of solutions becomes larger than that of the O(N
2 − 1) model, with the appearance of new branches of fixed points relevant for criticality in gases of intersecting loops.
Subject
Statistics, Probability and Uncertainty,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
2 articles.
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1. On the
RPN−1
and
CPN−1
universality classes;Journal of Statistical Mechanics: Theory and Experiment;2023-04-01
2. Critical points in coupled Potts models and correlated percolation;Journal of Statistical Mechanics: Theory and Experiment;2023-01-01