Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces

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dc.creatorBietenholz, Wolfgang
dc.creatorBigarini, Antonio
dc.creatorNishimura, Jun
dc.creatorSusaki, Yoshiaki
dc.creatorTorrielli, Alessandro
dc.creatorVolkholz, Jan
dc.date2007-08-14
dc.date2007-09-24
dc.date.accessioned2026-07-07T11:41:52Z
dc.date.available2026-07-07T11:41:52Z
dc.descriptionWe present numerical results for U(1) gauge theory in 2d and 4d spaces involving a non-commutative plane. Simulations are feasible thanks to a mapping of the non-commutative plane onto a twisted matrix model. In d=2 it was a long-standing issue if Wilson loops are (partially) invariant under area-preserving diffeomorphisms. We show that non-perturbatively this invariance breaks, including the subgroup SL(2,R). In both cases, d=2 and d=4, we extrapolate our results to the continuum and infinite volume by means of a Double Scaling Limit. In d=4 this limit leads to a phase with broken translation symmetry, which is not affected by the perturbatively known IR instability. Therefore the photon may survive in a non-commutative world.
dc.description7 pages, 6 figures, talk presented by W.B. at LATTICE07
dc.identifierhttps://arxiv.org/abs/0708.1857
dc.identifierhttp://arxiv.org/abs/0708.1857
dc.identifierPoSLAT2007:049,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200687
dc.subjectHigh Energy Physics - Lattice
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleSimulation Results for U(1) Gauge Theory on Non-Commutative Spaces
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