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Numerical results on the Non-commutative λϕ^4 Model

W. Bietenholz·F. Hofheinz·J. Nishimura
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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.

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W. Bietenholz, F. Hofheinz, J. Nishimura. 2003-09-18. Numerical results on the Non-commutative λϕ^4 Model. https://doi.org/10.1016/s0920-5632(03)02736-1

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