Tensor Network Renormalization of Bosonic Fields

German Sierra
Consejo Superior de Investigaciones Científicas (CSIC)

We apply the TNR method to compute the partition function of a free massive boson in a square lattice. This is done by implementing the singular value decomposition (SVD) to deal with continuous degrees of freedom. We obtain very accurate numerical results for the free energy and the central charge in the massless limit. The method is extended to interacting models and we tested with the interacting phi^4 model.

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