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.
Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions
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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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Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group
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.