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Numerical results on the Non-commutative λϕ4 Model

W. Bietenholz, F. Hofheinz, J. Nishimura

hep-tharXiv:hep-th/0309182

Abstract

The UV/IR mixing in the λϕ4 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.

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