Critical endpoint of (3+1)-dimensional finite density ℤ3 gauge-Higgs model with tensor renormalization group

A bstract The critical endpoint of the (3+1)-dimensional ℤ 3 gauge-Higgs model at finite density is determined by the tensor renormalization group method. This work is an extension of the previous one on the ℤ 2 model. The vital difference between them is that the ℤ 3 model suffers from the sign problem, while the ℤ 2 model does not. We show that the tensor renormalization group method allows us to locate the critical endpoint for the ℤ 3 gauge-Higgs model at finite density, regardless of the sign problem.