Critical points in the $C{P}^{N-1}$ model

Abstract

We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional $C{P}^{N-1}$ model, for $N$ real. Also due to special degeneracies at $N=2$ and 3, the space of solutions for $N\ge 2$ 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.

21 pages, 10 figures, 5 tables

References in corpus (9)

• Low-distance Surface Codes under Realistic Quantum Noise
• Three-dimensional antiferromagnetic CP(N-1) models
• Parafermionic excitations and critical exponents of random cluster and O(n) models
• Classifying Potts critical lines
• Fields, particles and universality in two dimensions
• Phase Transitions In Two Planar Lattice Models And Topological Defects: A Monte Carlo Study
• On superuniversality in the $q$-state Potts model with quenched disorder
• Asymptotic low-temperature behavior of two-dimensional RP${}^{N-1}$ models
• Critical points in the $R{P}^{N-1}$ model

Cited by in corpus (4)

• Critical points in coupled Potts models and correlated percolation
• Nonuniversality in random criticality
• On the $R{P}^{N-1}$ and $C{P}^{N-1}$ universality classes
• Exact results for spin glass criticality