PIRSA:19040117 Scientific Series Other

DOI10.48660/19040117

Series: Tensor Network

(2019). Tensor renormalization group in bosonic field theory. Perimeter Institute. https://pirsa.org/19040117

Tensor renormalization group in bosonic field theory. Perimeter Institute, Apr. 08, 2019, https://pirsa.org/19040117 

@misc{ pirsa_PIRSA:19040117,
  doi = {10.48660/19040117},
  url = {https://pirsa.org/19040117},
  author = {},
  keywords = {Other},
  language = {en},
  title = {Tensor renormalization group in bosonic field theory},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {apr},
  note = {PIRSA:19040117 see, \url{https://pirsa.org}}
}

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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