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PIRSA:16110045

Video URL

https://pirsa.org/16110045

Tensor networks and the renormalization group

          @misc{ scivideos_PIRSA:16110045,
            doi = {10.48660/16110045},
            url = {https://pirsa.org/16110045},
            author = {Vidal, Guifre},
            keywords = {Other Physics},
            language = {en},
            title = {Tensor networks and the renormalization group},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2016},
            month = {nov},
            note = {PIRSA:16110045 see, \url{https://scivideos.org/pirsa/16110045}}
          }

Guifre Vidal Alphabet (United States)

Talk numberPIRSA:16110045
DOI10.48660/16110045
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

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.