2020/03/29 by Clement Delcamp, Antoine Tilloy
Physics and Astronomy · #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevresearch.2.033278
published as Phys. Rev. Research 2, 033278 (2020)
arxiv created 2020/03/29 · arxiv updated 2020/08/26
We study the renormalization group flow of ϕ4 theory in two dimensions. Regularizing space into a fine-grained lattice and discretizing the scalar field in a controlled way, we rewrite the partition function of the theory as a tensor network. Combining local truncations and a standard coarse-graining scheme, we obtain the renormalization group flow of the theory as a map in a space of tensors. Aside from qualitative insights, we verify the scaling dimensions at criticality and extrapolate the critical coupling constant f\rm c = λ/ μ2 to the continuum to find f\rm cont.\rm c = 11.0861(90), which favorably compares with alternative methods.