PIRSA:18030058

Video URL

https://pirsa.org/18030058

Computational Spectroscopy of Quantum Field Theories

Lauchli, A. (2018). Computational Spectroscopy of Quantum Field Theories. Perimeter Institute for Theoretical Physics. https://pirsa.org/18030058

Lauchli, Andreas. Computational Spectroscopy of Quantum Field Theories. Perimeter Institute for Theoretical Physics, Mar. 14, 2018, https://pirsa.org/18030058 

          @misc{ scivideos_PIRSA:18030058,
            doi = {10.48660/18030058},
            url = {https://pirsa.org/18030058},
            author = {Lauchli, Andreas},
            keywords = {Quantum Matter},
            language = {en},
            title = {Computational Spectroscopy of Quantum Field Theories},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {mar},
            note = {PIRSA:18030058 see, \url{https://scivideos.org/index.php/pirsa/18030058}}
          }

Andreas Lauchli Paul Scherrer Institute

Talk numberPIRSA:18030058
DOI10.48660/18030058
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Quantum field theories play an important role in many condensed matter systems for their description at low energies and long length scales. In 1+1 dimensional critical systems the energy spectrum and the spectrum of scaling dimensions are intimately related in the presence of conformal symmetry. In higher space-time dimensions this relation is more subtle and not well explored numerically. In this talk we motivate and review our recent effort to characterize 2+1 dimensional quantum field theories using computational techniques 2+targetting the energy spectrum on a spatial torus. We discuss several examples ranging from the O(N) Wilson Fisher theories and Gross-Neveu-Yukawa theories to deconfinement- confinement transitions in the context of topological ordered systems. We advocate a phenomenological picture that provides insight into the operator content of the critical field theories.