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arXiv · 1902.02362

Tensor renormalization group in bosonic field theory

Manuel Campos·German Sierra·Esperanza Lopez
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Abstract

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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Manuel Campos, German Sierra, Esperanza Lopez. 2019-02-06. Tensor renormalization group in bosonic field theory. https://doi.org/10.1103/physrevb.100.195106

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