Regulating Quantum Field Theory with Matrix Models

APA

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

MLA

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

BibTex

          @misc{ scivideos_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, Quantum Matter},
            language = {en},
            title = {Regulating Quantum Field Theory with Matrix Models},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {mar},
            note = {PIRSA:11030105 see, \url{https://scivideos.org/index.php/pirsa/11030105}}
          }
          

Denjoe O'Connor Dublin Institute for Advanced Studies

Source Repository PIRSA
Collection

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.