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Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions

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arxiv 2312.16167 v1 pith:UAK6VONZ submitted 2023-12-26 hep-lat

Muhammad Asaduzzaman , Simon Catterall , Yannick Meurice , Ryo Sakai , Goksu Can Toga This is my paper · ORCID
classification hep-lat
keywords gaugefermionsreducedstaggeredtensorcouplednetworknon-abelian
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abstract

We show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled to a non-abelian gauge field in two dimensions. The resulting formulation is both memory and computation efficient because reduced staggered fermions can be represented in terms of a minimal number of tensor indices while the gauge sector can be approximated using Gaussian quadrature with a truncation. Numerical results obtained using the Grassmann TRG algorithm are shown for the case of $SU(2)$ lattice gauge theory and compared to Monte Carlo results.

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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. Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group

    hep-lat 2026-02 conditional novelty 6.0 of 10

    For one-flavor Gross-Neveu-Wilson fermions, the Aoki phase is bounded by c=1/2 Ising critical lines and terminates at strong coupling, while c=1 lines separate topological and trivial insulators.

  2. Tensor renormalization group study of cold and dense QCD in the strong coupling limit

    hep-lat 2026-01 conditional novelty 6.0 of 10

    In strong-coupling lattice QCD at Nτ=8, the chiral and nuclear transition endpoints coincide at m_c≈2.06, and a first-order transition persists at m=2.07 on a 1024^4 zero-temperature lattice.

  3. Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group

    hep-lat 2025-01 conditional novelty 5.0 of 10

    Grassmann tensor network simulations of 1+1D two-color lattice QCD reproduce finite-density physics and identify a candidate c=1 critical point for Wilson fermions.

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