Noncommutative geometry provides a powerful tool for regularizing quantum field theories
in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling …

Using the Hopf fibration and starting from a four-dimensional noncommutative Moyal plane
R θ 2× R θ 2 we obtain a star product for the noncommutative (fuzzy) R λ 3 defined by [xi …

We review the formulation and properties of scalar field theories defined on fuzzy spaces.
We go over the two most important features that caused by the short distance structure–the …

Here we present an overview on the various works, in which many collaborators have
contributed, regarding the interesting dipole of noncommutativity and physics. In brief, we …

We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy
sphere. We use a novel algorithm which strongly reduces the correlation problems in the …

Fuzzy spheres appear as classical solutions in a matrix model obtained via dimensional
reduction of 3-dimensional Yang-Mills theory with the Chern-Simons term. Well-defined …

The critical properties of the real ϕ 4 scalar field theory are studied numerically on the fuzzy
sphere. The fuzzy sphere is a finite matrix (non-commutative) approximation of the algebra …

A bstract We formulate a model of noncommutative four-dimensional gravity on a covariant
fuzzy space based on SO (1, 4), that is the fuzzy version of the dS 4. The latter requires the …

The ϕ4 real scalar field theory on a fuzzy sphere is studied numerically. We refine the phase
diagram for this model where three distinct phases are known to exist: a uniformly ordered …

Scalar field theory on fuzzy S4 Page 1 Journal of High Energy Physics Scalar field theory on
fuzzy S4 To cite this article: Julieta Medina and Denjoe O'Connor JHEP11(2003)051 View the …