Bose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time

dc.creatorM., Ajith K.
dc.creatorHarikumar, E.
dc.creatorSivakumar, M.
dc.date2007-11-03
dc.date2008-02-06
dc.date.accessioned2026-07-07T13:16:12Z
dc.date.available2026-07-07T13:16:12Z
dc.descriptionWe study the Fermionisation of Seiberg-Witten mapped action (to order $θ$) of the $λϕ^{4}$ theory coupled minimally with U(1) gauge field governed by Chern-Simon action. Starting from the corresponding partition function we derive non-perturbatively (in coupling constant) the partition function of the spin 1/2 theory following Polyakov spin factor formalism. We find the dual interacting fermionic theory is non local. This feature persist also in the limit of vanishing self coupling. In $θ\to 0$ limit, the commutative result is regained.
dc.description10 pages, reoraganised the paper, removed one section
dc.identifierhttps://arxiv.org/abs/0711.0431
dc.identifierhttp://arxiv.org/abs/0711.0431
dc.identifierMod.Phys.Lett.A23:3015-3022,2008
dc.identifierdoi:10.1142/S0217732308026868
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230716
dc.subjectHigh Energy Physics - Theory
dc.titleBose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time
dc.typetext

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