Abstract
We make a detailed analysis of the spontaneous Z2-symmetry breaking in the two dimensional real ϕ4 theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the physical observables without statistical uncertainties. We determine the critical coupling in the continuum limit employing the tensor network formulation for scalar field theories proposed in our previous paper. We obtain [λ/μc2]cont. = 10.913(56) with the quartic coupling λ and the renormalized critical mass μc. The result is compared with previous results obtained by different approaches.
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