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arXiv:2312.11649

Tensor renormalization group study of 3D principal chiral model

Shinichiro Akiyama, Raghav G. Jha, Judah Unmuth-Yockey

Published Dec 18, 2023• 0 citations
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Abstract

We study the three-dimensional $SU(2)$ principal chiral model (PCM) using different tensor renormalization group methods based on the triad and anisotropic decomposition of the tensor. The tensor network representation is formulated based on the character expansion of the Boltzmann weight. We compare the average action obtained using these two tensor network algorithms and confirm that the resulting critical coupling and exponent are comparable with the recent estimations from the Monte Carlo methods.

DOI
10.48550/arxiv.2312.11649

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