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arXiv:1603.09455 · Physical review. D/Physical review. D.

Tensor renormalization group analysis of CP(N−1) model

Hikaru Kawauchi, Shinji Takeda

Published Jun 6, 2016• 48 citations
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Abstract

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

DOI
10.1103/physrevd.93.114503

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