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.

arXiv comment21 pages, 10 figures, 5 tables

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Cited by in corpus (4)

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• Nonuniversality in random criticality
• On the $R{P}^{N-1}$ and $C{P}^{N-1}$ universality classes
• Exact results for spin glass criticality