Conformal group of transformations of the quantum field operators in the momentum space and the five dimensional Lagrangian approach

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dc.creatorMachavariani, A. I.
dc.date2005-04-04
dc.date.accessioned2026-07-07T04:18:13Z
dc.date.available2026-07-07T04:18:13Z
dc.descriptionConformal group of transformations in the momentum space, consisting of translations $p'_μ=p_μ+h_μ$, rotations $p'_μ=Λ^ν_μp_ν$, dilatation $p'_μ=λp_μ$ and inversion $p'_μ= -M^2p_μ/p^2$ of the four-momentum $p_μ$, is used for the five dimensional generalization of the equations of motion for the interacting massive particles. It is shown, that the ${\cal S}$-matrix of the charged and the neutral particles scattering is invariant under translations in a four-dimensional momentum space $p'_μ=p_μ+h_μ$. In the suggested system of equations of motion, the one-dimensional equations over the fifth coordinate $x_5$ are separated and these one dimensional equations have the form of the evaluation equations with $x_5=\sqrt{x_o^2-{\bf x}^2}$. The important property of the derived five dimensional equations of motion is the explicit separation of the parts of these equations according to the inversion $p'_μ=-M^2 p_μ/p^{2}$, where $M$ is a scale constant.
dc.descriptionLATEX, 33 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0504030
dc.identifierhttp://arxiv.org/abs/hep-th/0504030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53087
dc.subjectHigh Energy Physics - Theory
dc.titleConformal group of transformations of the quantum field operators in the momentum space and the five dimensional Lagrangian approach
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