Renormalization of the Regularized Relativistic Electron-Positron Field

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dc.creatorLieb, Elliott H.
dc.creatorSiedentop, Heinz
dc.date2000-03-02
dc.date.accessioned2026-07-07T07:56:14Z
dc.date.available2026-07-07T07:56:14Z
dc.descriptionWe consider the relativistic electron-positron field interacting with itself via the Coulomb potential defined with the physically motivated, positive, density-density quartic interaction. The more usual normal-ordered Hamiltonian differs from the bare Hamiltonian by a quadratic term and, by choosing the normal ordering in a suitable, self-consistent manner, the quadratic term can be seen to be equivalent to a renormalization of the Dirac operator. Formally, this amounts to a Bogolubov-Valatin transformation, but in reality it is non-perturbative, for it leads to an inequivalent, fine-structure dependent representation of the canonical anticommutation relations. This non-perturbative redefinition of the electron/positron states can be interpreted as a mass, wave-function and charge renormalization, among other possibilities, but the main point is that a non-perturbative definition of normal ordering might be a useful starting point for developing a consistent quantum electrodynamics.
dc.description11 pages, latex2e
dc.identifierhttps://arxiv.org/abs/math-ph/0003001
dc.identifierhttp://arxiv.org/abs/math-ph/0003001
dc.identifierCommun. Math. Phys. 213, 673-683 (2000)
dc.identifierdoi:10.1007/s002200000265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127234
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization of the Regularized Relativistic Electron-Positron Field
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