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

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.