PIRSA:18030058 Scientific Series Condensed Matter

DOI10.48660/18030058

Series: Colloquium

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

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

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

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.

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