PIRSA:19040117

# Tensor renormalization group in bosonic field theory

### APA

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

### MLA

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

### BibTex

@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.