PIRSA:17050079

Video URL

https://pirsa.org/17050079

Conformal Truncation: QFT Dynamics from CFT Data

Walters, M. (2017). Conformal Truncation: QFT Dynamics from CFT Data. Perimeter Institute for Theoretical Physics. https://pirsa.org/17050079

Walters, Matthew. Conformal Truncation: QFT Dynamics from CFT Data. Perimeter Institute for Theoretical Physics, May. 15, 2017, https://pirsa.org/17050079 

          @misc{ scivideos_PIRSA:17050079,
            doi = {10.48660/17050079},
            url = {https://pirsa.org/17050079},
            author = {Walters, Matthew},
            keywords = {Particle Physics},
            language = {en},
            title = {Conformal Truncation: QFT Dynamics from CFT Data},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {may},
            note = {PIRSA:17050079 see, \url{https://scivideos.org/index.php/pirsa/17050079}}
          }

Matthew Walters Boston College

Talk numberPIRSA:17050079
DOI10.48660/17050079
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Any quantum field theory can be thought of as arising from a perturbed UV conformal field theory, suggesting that information about the full RG flow is encoded in the original CFT. I will discuss ongoing work developing new methods for extracting this information to study strongly-coupled IR dynamics. This method uses a UV basis of conformal Casimir eigenstates to construct the Hamiltonian, which is then truncated at some maximum Casimir eigenvalue and diagonalized to approximate the low energy spectrum of the IR theory. After presenting a general framework which can be applied to CFTs in any number of dimensions, I will then focus on the specific example of scalar field theory, which can be used to study strongly-coupled systems like the 2D and 3D Ising models. Finally, I will discuss the possible application of this framework to gauge theories, including QCD.