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

Hikaru Kawauchi; Shinji Takeda

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

High Energy Physics - Lattice 2015-11-03 v1

Authors: Hikaru Kawauchi , Shinji Takeda

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 $\beta$ .

Keywords

renormalization in quantum field theory

Cite

@article{arxiv.1511.00348,
  title  = {Tensor renormalization group analysis of ${\rm CP}(N-1)$ model in two dimensions},
  author = {Hikaru Kawauchi and Shinji Takeda},
  journal= {arXiv preprint arXiv:1511.00348},
  year   = {2015}
}

Comments

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

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