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arXiv:2110.04014 · Journal of Statistical Mechanics Theory and Experiment

Critical points in the CP N −1 model

Youness Diouane, Noel Lamsen, Gesualdo Delfino A

Published Feb 1, 2022• 5 citations
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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.

DOI
10.1088/1742-5468/ac4983

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