Variational Solution of the Gross-Neveu model I. the Large-$N$ Limit

dc.creatorArvanitis, C.
dc.creatorGeniet, F.
dc.creatorNeveu, A.
dc.date1995-06-28
dc.date.accessioned2026-07-07T04:21:17Z
dc.date.available2026-07-07T04:21:17Z
dc.descriptionIn this first paper we begin the application of variational methods to renormalisable asymptotically free field theories, using the Gross-Neveu model as a laboratory. This variational method has been shown to lead to a numerically convergent sequence of approximations for the anharmonic oscillator. Here we perform a sample calculation in lowest orders, which shows the superficially disastrous situation of variational calculations in quantum field theory, and how in the large-$N$ limit all difficulties go away, as a warm up exercise for the finite-$N$ case and for QCD.
dc.description20 pages, includes 4-uuencoded figures, uses revtex one minor corection in the tex source to include properly fig
dc.identifierhttps://arxiv.org/abs/hep-th/9506188
dc.identifierhttp://arxiv.org/abs/hep-th/9506188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54258
dc.subjectHigh Energy Physics - Theory
dc.titleVariational Solution of the Gross-Neveu model I. the Large-$N$ Limit
dc.typetext

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