PIRSA:11030105 Scientific Series Quantum Gravity Quantum Fields and Strings Particle Physics Condensed Matter

DOI10.48660/11030105

Series: Colloquium

O'Connor, D. (2011). Regulating Quantum Field Theory with Matrix Models. Perimeter Institute. https://pirsa.org/11030105

O'Connor, Denjoe. Regulating Quantum Field Theory with Matrix Models. Perimeter Institute, Mar. 09, 2011, https://pirsa.org/11030105 

@misc{ pirsa_PIRSA:11030105,
  doi = {10.48660/11030105},
  url = {https://pirsa.org/11030105},
  author = {O{\textquoteright}Connor, Denjoe},
  keywords = {Quantum Gravity, Quantum Fields and Strings, Particle Physics, Condensed Matter},
  language = {en},
  title = {Regulating Quantum Field Theory with Matrix Models},
  publisher = {Perimeter Institute},
  year = {2011},
  month = {mar},
  note = {PIRSA:11030105 see, \url{https://pirsa.org}}
}

Abstract

The standard method to study nonperturbative properties of quantum field theories is to Wick rotate the theory to Euclidean space and regulate it on a Euclidean Lattice. An alternative is "fuzzy field theory". This involves replacing the lattice field theory by a matrix model that approximates the field theory of interest, with the approximation becoming better as the matrix size is increased. The regulated field theory is one on a background noncommutative space. I will describe how this method works and present recent progress and surprises.

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