65 citations · 182 across the 12 of their papers we have counts for
11 papers
Dominance of a single topological sector in gauge theory on non-commutative geometry
Hajime Aoki, Jun Nishimura, Yoshiaki Susaki
We demonstrate a striking effect of non-commutative (NC) geometry on topological properties of gauge theory by Monte Carlo simulations. We study 2d U(1) NC gauge theory for various…
Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
Hajime Aoki, Jun Nishimura, Yoshiaki Susaki
We present a novel finite-matrix formulation of gauge theories on a non-commutative torus. Unlike the previous formulation based on a map from a square matrix to a field on a discr…
Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces
Wolfgang Bietenholz, Antonio Bigarini, Jun Nishimura +3
We present numerical results for U(1) gauge theory in 2d and 4d spaces involving a non-commutative plane. Simulations are feasible thanks to a mapping of the non-commutative plane…
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…
Probability distribution of the index in gauge theory on 2d non-commutative geometry
Hajime Aoki, Jun Nishimura, Yoshiaki Susaki
We investigate the effects of non-commutative geometry on the topological aspects of gauge theory using a non-perturbative formulation based on the twisted reduced model. The confi…