PIRSA:19050011

The Functional Renormalization Group Equation as an Approach to the Continuum Limit of Tensor Models for Quantum Gravity

APA

Koslowski, T. (2019). The Functional Renormalization Group Equation as an Approach to the Continuum Limit of Tensor Models for Quantum Gravity. Perimeter Institute. https://pirsa.org/19050011

MLA

Koslowski, Tim. The Functional Renormalization Group Equation as an Approach to the Continuum Limit of Tensor Models for Quantum Gravity. Perimeter Institute, May. 02, 2019, https://pirsa.org/19050011

BibTex

          @misc{ pirsa_PIRSA:19050011,
            doi = {10.48660/19050011},
            url = {https://pirsa.org/19050011},
            author = {Koslowski, Tim},
            keywords = {Quantum Gravity},
            language = {en},
            title = {The Functional Renormalization Group Equation as an Approach to   the Continuum Limit of Tensor Models for Quantum Gravity},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {may},
            note = {PIRSA:19050011 see, \url{https://pirsa.org}}
          }
          

Tim Koslowski Universidad Nacional Autónoma De Mexico (UNAM)

Collection
Talk Type Scientific Series
Subject

Abstract

Tensor Models provide one of the calculationally simplest approaches to defining a partition function for random discrete geometries. The continuum limit of these discrete models then provides a background-independent construction of a partition function of continuum geometry, which are candadates for quantum gravity. The blue-print for this approach is provided by the matrix model approach to two-dimensional quantum gravity. The past ten years have seen a lot of progress using (un)colored tensor models to describe state sums if discrete geometries in more than two dimensions. However, so far one has not yet been able to find a continuum limit of these models that corresponds geometries with more than two continuum dimensions. This problem can be studied systematically using exact renormalization group techniques. In this talk I will report on joint work with Astrid Eichhorn, Antonio Perreira, Joseph Ben Geloun, Daniele Oriti, Johannes Lumma, Alicia Castro and Victor Mu\~noz in this direction. In a separate part of the talk I will explain that the renormalization group is not only a tool to help investigating the continuum limit, but that it in fact also provides a stand-alone approach to quantum gravity. In particular, I will show how scaling relations follow from cylidrical consistency relations.