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 numberPIRSA:11030105
DOI10.48660/11030105
Collection
Talk Type Scientific Series
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.