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arXiv · 2208.13991

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

Xiao Luo·Yoshinobu Kuramashi
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Abstract

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 $μ=0$ 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 $μ\ne 0$ at the strong coupling we observe the Silver-Blaze phenomenon for the number density.

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Xiao Luo, Yoshinobu Kuramashi. 2023-03-12. Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density. https://doi.org/10.1103/physrevd.107.094509

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