Four Dimensional CFT Models with Rational Correlation Functions

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dc.creatorNikolov, Nikolay M.
dc.creatorStanev, Yassen S.
dc.creatorTodorov, Ivan T.
dc.date2001-10-25
dc.date2002-02-07
dc.date.accessioned2026-07-07T10:53:41Z
dc.date.available2026-07-07T10:53:41Z
dc.descriptionRecently established rationality of correlation functions in a globally conformal invariant quantum field theory satisfying Wightman axioms is used to construct a family of soluble models in 4-dimensional Minkowski space-time. We consider in detail a model of a neutral scalar field $ϕ$ of dimension 2. It depends on a positive real parameter c, an analogue of the Virasoro central charge, and admits for all (finite) c an infinite number of conserved symmetric tensor currents. The operator product algebra of $ϕ$ is shown to coincide with a simpler one, generated by a bilocal scalar field $V(x_1,x_2)$ of dimension (1,1). The modes of V together with the unit operator span an infinite dimensional Lie algebra $L_V$ whose vacuum (i.e. zero energy lowest weight) representations only depend on the central charge c. Wightman positivity (i.e. unitarity of the representations of $L_V$) is proven to be equivalent to $c \in N$.
dc.description28 pages, LATEX, amsfonts, latexsym. Proposition 2.3, and Conjecture in Sec. 6 are revised. Minor errors are corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0110230
dc.identifierhttp://arxiv.org/abs/hep-th/0110230
dc.identifierJ.Phys.A35:2985-3008,2002
dc.identifierdoi:10.1088/0305-4470/35/12/319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185564
dc.subjectHigh Energy Physics - Theory
dc.titleFour Dimensional CFT Models with Rational Correlation Functions
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