PIRSA:16110045

Tensor networks and the renormalization group

APA

Vidal, G. (2016). Tensor networks and the renormalization group. Perimeter Institute. https://pirsa.org/16110045

MLA

Vidal, Guifre. Tensor networks and the renormalization group. Perimeter Institute, Nov. 09, 2016, https://pirsa.org/16110045

BibTex

          @misc{ pirsa_16110045,
            doi = {},
            url = {https://pirsa.org/16110045},
            author = {Vidal, Guifre},
            keywords = {Other},
            language = {en},
            title = {Tensor networks and the renormalization group},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {nov},
            note = {PIRSA:16110045 see, \url{https://pirsa.org}}
          }
          

Abstract

Tensor networks offer an efficient representation of many-body wave-functions in an exponentially large Hilbert space by exploiting the area law of ground state quantum entanglement. I will start with a gentle introduction to the tensor network formalism. Then I will describe its application to realizing Wilson's renormalization group directly on quantum lattice models (e.g. quantum spin chains), with emphasis on the RG fixed points corresponding to conformal field theories. We will see how to define both global and local scale transformations on the lattice in such a way that, intriguingly, conformal invariance can be tested (and conformal data extracted) right at the UV cut-off scale.