The SU(2) Non-Linear Sigma-Model in 2+1 Dimensions: Perturbation Theory in a Polynomial Formulation

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dc.creatorFosco, C. D.
dc.creatorMatsuyama, T.
dc.date1996-02-27
dc.date.accessioned2026-07-07T04:21:54Z
dc.date.available2026-07-07T04:21:54Z
dc.descriptionWe construct a perturbation theory for the SU(2) non-linear Sigma-model in 2+1 dimensions using a polynomial, first-order formulation, where the variables are a non-Abelian vector field L_mu (the left SU(2) current), and a non-Abelian pseudovector field $θ_μ$, which imposes the condition F_{mu nu}(L) = 0. The coordinates on the group do not appear in the Feynman rules, but their scattering amplitudes are easily related to those of the currents. We show that all the infinities affecting physical amplitudes at one-loop order can be cured by normal ordering, presenting the calculation of the full propagator as an example of an application.
dc.description23 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/9602142
dc.identifierhttp://arxiv.org/abs/hep-th/9602142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54510
dc.subjectHigh Energy Physics - Theory
dc.titleThe SU(2) Non-Linear Sigma-Model in 2+1 Dimensions: Perturbation Theory in a Polynomial Formulation
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