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$SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice

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arxiv 2406.10081 v1 pith:SUZKSG55 submitted 2024-06-14 hep-lat hep-th

Shinichiro Akiyama , Raghav G. Jha , Judah Unmuth-Yockey This is my paper · ORCID
classification hep-lathep-th
keywords grouprenormalizationtensormethodschiralmodelprincipalresults
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abstract

We study the continuous phase transition and thermodynamic observables in the three-dimensional Euclidean $SU(2)$ principal chiral field model with the triad tensor renormalization group (tTRG) and the anisotropic tensor renormalization group (ATRG) methods. Using these methods, we find results that are consistent with previous Monte Carlo estimates and the predicted renormalization group scaling of the magnetization close to criticality. These results bring us one step closer to studying finite-density QCD in four dimensions using tensor network methods.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method

    hep-lat 2026-02 conditional novelty 7.0 of 10

    Forward-mode AD for TRG is derived with (k+1)(k+2)/2 cost scaling, linked to impurity methods, and tested on the 2D/3D Ising model for energy, specific heat, and critical exponents.

  2. Twisted Partition Functions as Order Parameters

    hep-th 2025-05 conditional novelty 5.0 of 10

    Twisted partition functions work as an order parameter that separates broken-symmetry, symmetry-protected, and symmetry-enriched phases, reproduce the Wilson-'t Hooft classification in 4d gauge theories, and tie U(1) ...

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