arXiv subjects

Hikaru Kawauchi

Publications and source records attributed to Hikaru Kawauchi.

4 recordsLinked to original sources

arXiv2017

Loop-TNR analysis of CP(1) model with theta term

The phase structure of the two dimensional lattice CP(1) model in the presence of the $θ$ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions $θ=0$ and $θ\neq 0$. Loop-TNR, which is more suitable for the analysis of near criticality, is also implemented for the region $θ=0$. The application of Loop-TNR for the region $θ\neq 0$ is left for future work.

hep-lat↗

arXiv2016

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

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 $θ$ term and investigate the nature of the phase transition at $θ=π$.

hep-lat↗

arXiv2016

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

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 $θ$ term is derived. We confirm that the numerical results of the CP(1) model without the $θ$ term using this method are consistent with that of the O(3) model which is analyzed by the same method in the region $β\gg 1$ and that obtained by the Monte Carlo simulation in a wider range of $β$. The numerical computation including the $θ$ term is left for future challenges.

hep-lat↗

arXiv2015

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

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 $θ$-term using this method are consistent with that of the O(3) model which is analyzed by the same method in the region $β\gg 1$ and that obtained by Monte Carlo simulation in a wider range of $β$.

hep-lat↗