38 citations · 74 across the 7 of their papers we have counts for
7 papers
Scalar fields in a non-commutative space
Wolfgang Bietenholz, Frank Hofheinz, Héctor Mejía-Díaz +1
We discuss the lambda phi**4 model in 2- and 3-dimensional non-commutative spaces. The mapping onto a Hermitian matrix model enables its non-perturbative investigation by Monte Car…
Field Theory Simulations on a Fuzzy Sphere - an Alternative to the Lattice
Julieta Medina, Wolfgang Bietenholz, Frank Hofheinz +1
We explore a new way to simulate quantum field theory, without introducing a spatial lattice. As a pilot study we apply this method to the 3d λϕ^4 model. The regularisation consist…
The continuum limit of the non-commutative lambda phi^4 model
W. Bietenholz, F. Hofheinz, J. Nishimura
We present a numerical study of the λϕ^{4} model in three Euclidean dimensions, where the two spatial coordinates are non-commutative (NC). We first show the explicit phase diagram…
On the relation between non-commutative field theories at theta = infinity and large N matrix field theories
Wolfgang Bietenholz, Frank Hofheinz, Jun Nishimura
It is well-known that non-commutative (NC) field theories at theta = infinity are ``equivalent'' to large N matrix field theories to all orders in perturbation theory, due to the d…
Field Theory on a Non-commutative Plane: a Non-Perturbative Study
F. Hofheinz
The 2d gauge theory on the lattice is equivalent to the twisted Eguchi-Kawai model, which we simulated at N ranging from 25 to 515. We observe a clear large N scaling for the 1- an…
The Non-Commutative λϕ^{4} Model
W. Bietenholz, F. Hofheinz, J. Nishimura
In the recent years, field theory on non-commutative (NC) spaces has attracted a lot of attention. Most literature on this subject deals with perturbation theory, although the latt…