PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Theoretical Developments
Tensor renormalization group approach to higher dimensional fermions
R. Sakai,* S. Takeda
*corresponding author
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Pre-published on: February 17, 2017
Published on: March 24, 2017
Abstract
We apply the higher order tensor renormalization group to two and three dimensional lattice fermion systems. To deal with tensor networks including Grassmann variables, we introduce Grassmann higher order tensor renormalization group (GHOTRG). Thanks to its deterministic property, GHOTRG is perfectly free of the sign problem. To test the validity of the new algorithm, we analyze well-known systems such as the Thirring model using GHOTRG.
DOI: https://doi.org/10.22323/1.256.0336
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