427 citations · 492 across the 5 of their papers we have counts for
5 papers
Solvable limits of a 4D noncommutative QFT
Harald Grosse, Raimar Wulkenhaar
In previous work we have shown that the (θ->\infty)-limit of ϕ^4_4-quantum field theory on noncommutative Moyal space is an exactly solvable matrix model. In this paper we translat…
Exact solution of a 1D many-body system with momentum dependent interactions
Harald Grosse, Edwin Langmann, Cornelius Paufler
We discuss a 1D many-body model of distinguishable particles with local, momentum dependent two-body interactions. We show that the restriction of this model to fermions correspond…
Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
Harald Grosse, Raimar Wulkenhaar
We prove that the real four-dimensional Euclidean noncommutative ϕ^4-model is renormalisable to all orders in perturbation theory. Compared with the commutative case, the bare acti…
The Landau-Problem on the θ-Deformed Two-Torus
H. Grosse, M. Kornexl
We study the Landau-problem on the -deformed two-torus and use well-known projective modules to obtain perturbed spectra. For a strong magnetic field B the problem can be restri…
The Luttinger-Schwinger Model
H. Grosse, E. Langmann, E. Raschhofer
We study the Luttinger-Schwinger model, i.e. the (1+1) dimensional model of massless Dirac fermions with a non-local 4-point interaction coupled to a U(1)-gauge field. The complete…