5 papers
Planar Dominance in Non-commutative Field Theories at Infinite External Momentum
Tadayuki Konagaya, Jun Nishimura
In perturbative expansion of field theories on a non-commutative geometry, it is known that planar diagrams dominate when the non-commutativity parameter goes to infinity. We d…
First Simulation Results for the Photon in a Non-Commutative Space
W. Bietenholz, F. Hofheinz, J. Nishimura +2
We present preliminary simulation results for QED in a non-commutative 4d space-time, which is discretized to a fuzzy lattice. Its numerical treatment becomes feasible after its ma…
Phase diagram and dispersion relation of the non-commutative λϕ^{4} model in d=3
W. Bietenholz, F. Hofheinz, J. Nishimura
We present a non-perturbative study of the λϕ^{4} model in a three dimensional Euclidean space, where the two spatial coordinates are non-commutative. Our results are obtained from…
Numerical results on the Non-commutative λϕ^4 Model
W. Bietenholz, F. Hofheinz, J. Nishimura
The UV/IR mixing in the λϕ^4 model on a non-commutative (NC) space leads to new predictions in perturbation theory, including Hartree-Fock type approximations. Among them there is…
Non--Commutative Field Theories beyond Perturbation Theory
W. Bietenholz, F. Hofheinz, J. Nishimura
We investigate two models in non-commutative (NC) field theory by means of Monte Carlo simulations. Even if we start from the Euclidean lattice formulation, such simulations are on…