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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Acknowledgments
We thank the members of the QuLAT Collaboration for valuable discussions. This work was supported in part by the U.S. Department of Energy (DOE) under Award Numbers DE-SC0009998, DE-SC0010113, and DE-SC0019139. This research used resources from the Syracuse University HTC Campus Grid and NSF award ACI-1341006 and the National Energy Research Scientific Computing Center (NERSC), a U.S. Department of Energy Office of Science User Facility located at Lawrence Berkeley National Laboratory, operated under Contract No. DE-AC02-05CH11231 using NERSC awards HEP-ERCAP0020659 and HEP-ERCAP0023235.
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ArXiv ePrint: 2312.16167
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Asaduzzaman, M., Catterall, S., Meurice, Y. et al. Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions. J. High Energ. Phys. 2024, 195 (2024). https://doi.org/10.1007/JHEP05(2024)195
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DOI: https://doi.org/10.1007/JHEP05(2024)195