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

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arxiv 1603.09455 v2 pith:AWEXPJVP submitted 2016-03-31 hep-lat

Hikaru Kawauchi , Shinji Takeda This is my paper · ORCID
classification hep-lat
keywords modeltensortermthetabetagroupmethodnumerical
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abstract

We apply the higher-order tensor renormalization group to the lattice CP($N-1$) model in two dimensions. A tensor network representation of the CP($N-1$) model in the presence of the $\theta$ term 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 the Monte Carlo simulation in a wider range of $\beta$. The numerical computation including the $\theta$ term is left for future challenges.

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Cited by 4 Pith papers

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  4. Tensor renormalization group study of the two-dimensional lattice U(1) gauge-Higgs model with a topological $\theta$ term under L\"uscher's admissibility condition

    hep-lat 2025-01 conditional novelty 4.0 of 10

    TRG computations show that Lüscher's admissibility condition moves the first-order transition of the 2D U(1) gauge-Higgs model at theta = pi closer to theta = pi under the field-theoretical definition, and locate the ...

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