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

Abstract

The critical endpoint of the (3+1)-dimensional Z3 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 Z2 model. The vital difference between them is that the Z3 model suffers from the sign problem, while the Z2 model does not. We show that the tensor renormalization group method allows us to locate the critical endpoint for the Z3 gauge-Higgs model at finite density, regardless of the sign problem.

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