PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Algorithms
Toward tensor renormalization group study of three-dimensional non-Abelian gauge theory
T.ย Kuwahara* and A.ย Tsuchiya
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Pre-published on: December 09, 2022
Published on: April 06, 2023
Abstract
We propose a new method for representing the path integral over gauge fields as a tensor network. We apply the tensor renormalization group with this method to three-dimensional pure ๐‘†๐‘ˆ(2) gauge theory. Our result for the free energy in the weak/strong coupling regime agrees with that obtained by the weak/strong coupling expansion.
DOI: https://doi.org/10.22323/1.430.0021
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