76 citations · 256 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces
W. Bietenholz, A. Bigarini, F. Hofheinz +3
We present non-perturbative results for U(1) gauge theory in spaces, which include a non-commutative plane. In contrast to the commutative space, such gauge theories involve a Yang…
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…
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…