180 citations · 2.3k across the 144 of their papers we have counts for
21 papers · 1 filter
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…
Could the photon dispersion relation be non-linear ?
Wolfgang Bietenholz
The free photon dispersion relation is a reference quantity for high precision tests of Lorentz Invariance. We first outline theoretical approaches to a conceivable Lorentz Invaria…
Simulations of a supersymmetry inspired model on a fuzzy sphere
Wolfgang Bietenholz
We present a numerical study of a two dimensional model of the Wess-Zumino type. We formulate this model on a sphere, where the fields are expanded in spherical harmonics. The sphe…
Probing the fuzzy sphere regularisation in simulations of the 3d λϕ^4 model
Julieta Medina, Wolfgang Bietenholz, Denjoe O'Connor
We regularise the 3d λϕ^4 model by discretising the Euclidean time and representing the spatial part on a fuzzy sphere. The latter involves a truncated expansion of the field in sp…
A non-perturbative study of non-commutative U(1) gauge theory
J. Nishimura, W. Bietenholz, Y. Susaki +1
We study U(1) gauge theory on a 4d non-commutative torus, where two directions are non-commutative. Monte Carlo simulations are performed after mapping the regularized theory onto…
A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
Wolfgang Bietenholz, Jun Nishimura, Yoshiaki Susaki +1
Recent perturbative studies show that in 4d non-commutative spaces, the trivial (classically stable) vacuum of gauge theories becomes unstable at the quantum level, unless one intr…