The Non-Commutative λϕ^{4} Model

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dc.creatorBietenholz, W.
dc.creatorHofheinz, F.
dc.creatorNishimura, J.
dc.date2003-09-23
dc.date.accessioned2026-07-07T04:15:45Z
dc.date.available2026-07-07T04:15:45Z
dc.descriptionIn the recent years, field theory on non-commutative (NC) spaces has attracted a lot of attention. Most literature on this subject deals with perturbation theory, although the latter runs into grave problems beyond one loop. Here we present results from a fully non-perturbative approach. In particular, we performed numerical simulations of the λϕ^{4} model with two NC spatial coordinates, and a commutative Euclidean time. This theory is lattice discretized and then mapped onto a matrix model. The simulation results reveal a phase diagram with various types of ordered phases. We discuss the suitable order parameters, as well as the spatial and temporal correlators. The dispersion relation clearly shows a trend towards the expected IR singularity. Its parameterization provides the tool to extract the continuum limit.
dc.description16 pages, 8 figures, talk presented at Workshop on Random Geometry, Krakow, 2003
dc.identifierhttps://arxiv.org/abs/hep-th/0309216
dc.identifierhttp://arxiv.org/abs/hep-th/0309216
dc.identifierActa Phys.Polon. B34 (2003) 4711-4726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52132
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleThe Non-Commutative λϕ^{4} Model
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