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

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arxiv 1611.00921 v1 pith:LX2LQHOV submitted 2016-11-03 hep-lat

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

The phase structure of the lattice CP($N-1$) model in two dimensions is analyzed by the tensor renormalization group (TRG) method. We focus on the case $N=2$ and compare the numerical result of the TRG method with that of the strong-coupling analysis in the presence of the $\theta$ term and investigate the nature of the phase transition at $\theta=\pi$.

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Cited by 2 Pith papers

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  1. Tensor renormalization group approach to entanglement entropy

    hep-lat 2025-09 conditional novelty 6.0 of 10

    A tensor renormalization group algorithm computes entanglement entropy for arbitrary single-interval subsystems and reproduces c=0.49997(8) in the 2D Ising model.

  2. Tensor renormalization group study of (1+1)-dimensional O(3) nonlinear sigma model with and without finite chemical potential

    hep-lat 2024-12 conditional novelty 2.0 of 10

    Tensor renormalization group yields central charge c = 1.97(9) and critical exponents nu = 0.512(15), z = 1.96(6) for the (1+1)d O(3) sigma model, matching theory.

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