Tensor renormalization group study of 3D principal chiral model

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2312.11649

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

Institutions: University of Tsukuba, Thomas Jefferson National Accelerator Facility, Fermi National Accelerator Laboratory

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, University of Washington, University of Tokyo, Office of Science, Japan Society for the Promotion of Science, High Energy Physics, Nuclear Physics, Fermilab

OpenAlex ID: W4390041441