PIRSA:11030105

Regulating Quantum Field Theory with Matrix Models

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}}
          }

Denjoe O'Connor

Dublin Institute for Advanced Studies

Talk number
PIRSA:11030105
Collection
Talk Type
Subject
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.