Tensor renormalization group analysis of $\mathrm{CP}(N-1)$ model in two dimensions

Abstract

We apply the higher order tensor renormalization group to lattice CP($N-1$) model in two dimensions. A tensor network representation of CP($N-1$) model is derived. We confirm that the numerical results of the CP(1) model without the $\theta$-term using this method are consistent with that of the O(3) model which is analyzed by the same method in the region $\beta \gg 1$ and that obtained by Monte Carlo simulation in a wider range of $\beta$.

Comments: 7 pages, 4 figures, The 33rd International Symposium on Lattice Field Theory 14-18 July 2015, Kobe, Japan