Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density

We apply the tensor renormalization group method to the (1 + 1)-dimensional SU(2) principal chiral model at finite chemical potential with the use of the Gauss-Legendre quadrature to discretize the SU(2) Lie group. The internal energy at vanishing chemical potential mu = 0 shows good consistency with the prediction of the strong and weak coupling expansions. This indicates an effectiveness of the Gauss-Legendre quadrature for the partitioning of the SU(2) Lie group. In the finite density region with mu not equal 0 the strong coupling we observe the Silver-Blaze phenomenon for the number density.

Automated summary

In this study, we apply the tensor renormalization group method to the (1 + 1)-dimensional SU(2) principal chiral model at finite chemical potential. The Gauss-Legendre quadrature is used to discretize the SU(2) Lie group. The internal energy at vanishing chemical potential mu = 0 is consistent with the prediction of the strong and weak coupling expansions, indicating the effectiveness of the Gauss-Legendre quadrature for the partitioning of the SU(2) Lie group. In the finite density region with mu not equal 0, we observe the Silver-Blaze phenomenon for the number density.