PIRSA:19040117

Tensor renormalization group in bosonic field theory

(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}}
          }
Talk number
PIRSA:19040117
Collection
Talk Type
Subject
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.