The 43rd International Symposium on Lattice Field Theory (Lattice 2026)

Tensor renormalization group for four-dimensional SU(N) gauge theories

31 Jul 2026, 16:10

20m

Benjamin Banneker B (Adele H. Stamp Student Union)

Contributed talk Algorithms and artificial intelligence Algorithms and artificial intelligence

Speaker

Katsumasa Nakayama (RIKEN)

Description

We apply the tensor renormalization group method to SU(N) non-Abelian gauge theories in three- and four-dimensional spacetime. Using a sampling approach for the gauge group elements, we obtain expectation values that are consistent with perturbation theory in both the strong- and weak-coupling regions. We propose several distributions for the random sampling and compare their performance at different couplings. We focus mainly on the SU(2) theory and discuss the extension of the method to the SU(3) case.