Computational Spectroscopy of Quantum Field Theories

APA

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

MLA

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

BibTex

          @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/pirsa/18030058}}
          }
          

Andreas Lauchli Paul Scherrer Institute

Source Repository PIRSA
Collection

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.