Numerical results on the Non-commutative λϕ^4 Model

Abstract

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 a changed phase diagram and an unusual behavior of the correlation functions. In particular this mixing leads to a deformation of the dispersion relation. We present numerical results for these effects in d=3 with two NC coordinates.

3 pages, 6 figures, Talk presented at Lattice2003(theory)