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Tensor renormalization group study of the non-Abelian Higgs model in two dimensions

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arxiv 1901.11443 v1 pith:QSCZ5PY4 submitted 2019-01-31 hep-lat cond-mat.other

Alexei Bazavov , Simon Catterall , Raghav G. Jha , Judah Unmuth-Yockey This is my paper · ORCID
classification hep-latcond-mat.other
keywords modeltensorcarlodimensionsgroupmonterenormalizationagreement
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abstract

We study the $SU(2)$ gauge-Higgs model in two Euclidean dimensions using the tensor renormalization group (TRG) approach. We derive a tensor formulation for this model in the unitary gauge and compare the expectation values of different observables between TRG and Monte Carlo simulations finding excellent agreement between the two methods. In practice we find the TRG method to be far superior to Monte Carlo simulation for calculations of the Polyakov loop correlation function which is used to extract the static quark potential.

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Cited by 3 Pith papers

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

  1. Fixed-point tensor network for compactified boson conformal field theory

    cond-mat.str-el 2026-07 conditional novelty 7.0 of 10

    Fixed-point tensors built from open-string boundary data reproduce the closed-string spectrum of the compactified boson at generic radius and generate stable RG flows with a controllable marginal deformation.

  2. 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.

  3. Multi-particle states investigation with tensor renormalization group method

    hep-lat 2026-06 unverdicted novelty 5.0 of 10

    A TRG-based spectroscopy scheme identifies multi-particle states in the 1+1d Ising model and extracts consistent two-particle scattering phase shifts via Lüscher's formula.

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