PIRSA:15030091

The renormalization group: a tensor network perspective

APA

Vidal, G. (2015). The renormalization group: a tensor network perspective. Perimeter Institute. https://pirsa.org/15030091

MLA

Vidal, Guifre. The renormalization group: a tensor network perspective. Perimeter Institute, Mar. 12, 2015, https://pirsa.org/15030091

BibTex

          @misc{ pirsa_15030091,
            doi = {},
            url = {https://pirsa.org/15030091},
            author = {Vidal, Guifre},
            keywords = {Quantum Gravity},
            language = {en},
            title = {The renormalization group: a tensor network perspective},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {mar},
            note = {PIRSA:15030091 see, \url{https://pirsa.org}}
          }
          

Abstract

A renormalization group transformation implements a scale transformation while resetting the UV cut-off, so that the theories before and after the RG transformation contain the same degrees of freedom, but with a modified action. In Wilson's original proposal, the cut-off is reset by integrating out the degrees of freedom between the old and new cut-off. In recent years we have learned that, alternatively, one can decouple these degrees of freedom by means of local unitary transformations (disentanglers). The result is a reversible renormalization group flow, and an efficient description of many-body ground states. In this talk, I will show you pretty drawings and will use fancy names, such as "multi-scale entanglement renormalization ansatz" (MERA). MERA is currently studied as a possible lattice realization of the AdS/CFT correspondence. I will keep it simple.