Tensor renormalization group in bosonic field theory
Statistical Mechanics
2019-11-13 v1 High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.1902.02362,
title = {Tensor renormalization group in bosonic field theory},
author = {Manuel Campos and German Sierra and Esperanza Lopez},
journal= {arXiv preprint arXiv:1902.02362},
year = {2019}
}
Comments
5+8 pages, 4+2 figures