PIRSA:16020096

Studying Strongly-Coupled Dynamics with Conformal Truncation

Walters, M. (2016). Studying Strongly-Coupled Dynamics with Conformal Truncation. Perimeter Institute. https://pirsa.org/16020096

Walters, Matthew. Studying Strongly-Coupled Dynamics with Conformal Truncation. Perimeter Institute, Feb. 23, 2016, https://pirsa.org/16020096 

          @misc{ pirsa_PIRSA:16020096,
            doi = {10.48660/16020096},
            url = {https://pirsa.org/16020096},
            author = {Walters, Matthew},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Studying Strongly-Coupled Dynamics with Conformal Truncation},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {feb},
            note = {PIRSA:16020096 see, \url{https://pirsa.org}}
          }

Matthew Walters

Boston College

Talk number
PIRSA:16020096
Collection
Talk Type
Subject
Abstract

I will discuss ongoing work developing Hamiltonian truncation methods for studying strongly-coupled IR physics originating from a perturbed UV conformal field theory. This method uses a UV basis of conformal Casimir eigenstates, which is truncated at some maximum Casimir eigenvalue, to approximate the low energy spectrum of the IR theory. So far, such methods have been limited to theories in 2D, and I will present a new framework for generalizing this approach to higher dimensions. Focusing specifically on the case of scalar fields in 3D, I will then show tests of this framework by comparing with known analytic results at weak coupling and in the O(N) model at large-N, before discussing the possible application to strongly-coupled systems like the 3D Ising model.