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

Abstract

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.

Keywords

• Algorithms and Theoretical Developments
• Non-Zero Temperature and Density
• Field Theories in Lower Dimensions