PIRSA:19110057 Scientific Series Condensed Matter

DOI10.48660/19110057

Series: Quantum Matter

Karthik, N. (2019). Numerical approach to infrared conformality and associated dualities in 2+1 dimensions. Perimeter Institute. https://pirsa.org/19110057

Karthik, Nikhil. Numerical approach to infrared conformality and associated dualities in 2+1 dimensions. Perimeter Institute, Nov. 05, 2019, https://pirsa.org/19110057 

@misc{ pirsa_PIRSA:19110057,
  doi = {10.48660/19110057},
  url = {https://pirsa.org/19110057},
  author = {Karthik, Nikhil},
  keywords = {Condensed Matter},
  language = {en},
  title = {Numerical approach to infrared conformality and associated dualities in 2+1 dimensions},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {nov},
  note = {PIRSA:19110057 see, \url{https://pirsa.org}}
}

Abstract

QFTs in 2+1 dimensions are powerful systems to understand the emergence of mass-gap and particle spectrum in QCD-like theories that describe our 3+1 dimensional world. Recently, these 2+1 dimensional systems have attracted even more attention due to conjectured dualities between seemingly very different theories and due to their applications to condensed matter systems. In this talk, I will describe our numerical investigations of the infrared behaviors of 2+1 dimensional U(1) and SU(N) gauge theories coupled to many favors of massless fermions using lattice regularization. I will also explain how lattice formulation is a potential tool to study and check particle-vortex dualities.

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