Lowest Landau Level of Relativistic Field Theories in a Strong Background Field

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dc.creatorCalmet, Xavier
dc.creatorKober, Martin
dc.date2007-04-11
dc.date2007-09-15
dc.date.accessioned2026-07-07T09:33:53Z
dc.date.available2026-07-07T09:33:53Z
dc.descriptionWe consider gauge theories in a strong external magnetic like field. This situation can appear either in conventional four-dimensional theories, but also naturally in extra-dimensional theories and especially in brane world models. We show that in the lowest Landau level approximation, some of the coordinates become non-commutative. We find physical reasons to formal problems with non-commutative gauge theories such as the issue with SU(N) gauge symmetries. Our construction is applied to a minimal extension of the standard model. It is shown that the Higgs sector might be non-commutative whereas the remaining sectors of the standard model remain commutative. Signatures of this model at the LHC are discussed. We then discuss an application to a dark matter sector coupled to the Higgs sector of the standard model and show that here again, dark matter could be non-commutative, the standard model fields remaining commutative.
dc.descriptionSubmitted for the SUSY07 proceedings,4 pages
dc.identifierhttps://arxiv.org/abs/0704.1355
dc.identifierhttp://arxiv.org/abs/0704.1355
dc.identifierProceedings of the 15th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY 07). Eds. W. de Boer and I. Gebauer, Vol. II, pp. 702-705, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159290
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleLowest Landau Level of Relativistic Field Theories in a Strong Background Field
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