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Tensor renormalization group in bosonic field theory

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arxiv 1902.02362 v1 pith:IIZPRTX6 submitted 2019-02-06 cond-mat.stat-mech hep-thquant-ph

Manuel Campos , German Sierra , Esperanza Lopez This is my paper · ORCID
classification cond-mat.stat-mechhep-thquant-ph
keywords fieldresultstensortheoryvalueaccuratealgorithmboson
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We compute the partition function of a massive free boson in a square lattice using a tensor network algorithm. We introduce a singular value decomposition (SVD) of continuous matrices that leads to very accurate numerical results. It is shown the emergence of a CDL fixed point structure. In the massless limit, we reproduce the results of conformal field theory including a precise value of the central charge.

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  1. Fixed-point tensor network for compactified boson conformal field theory

    cond-mat.str-el 2026-07 conditional novelty 7.0 of 10

    Fixed-point tensors built from open-string boundary data reproduce the closed-string spectrum of the compactified boson at generic radius and generate stable RG flows with a controllable marginal deformation.

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