Relating on-shell and off-shell formalism in perturbative quantum field theory

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dc.creatorBrouder, Christian
dc.creatorDuetsch, Michael
dc.date2007-10-16
dc.date2008-02-22
dc.date.accessioned2026-07-07T11:53:37Z
dc.date.available2026-07-07T11:53:37Z
dc.descriptionIn the on-shell formalism (mostly used in perturbative quantum field theory) the entries of the time ordered product T are on-shell fields (i.e. the basic fields satisfy the free field equations). With that, (multi)linearity of T is incompatible with the Action Ward identity. This can be circumvented by using the off-shell formalism in which the entries of T are off-shell fields. To relate on- and off-shell formalism correctly, a map sigma from on-shell fields to off-shell fields was introduced axiomatically by Duetsch and Fredenhagen. In that paper it was shown that, in the case of one real scalar field in N=4 dimensional Minkowski space, these axioms have a unique solution. However, this solution was given there only recursively. We solve this recurrence relation and give a fully explicit expression for sigma in the cases of the scalar, Dirac and gauge fields for arbitrary values of the dimension N.
dc.descriptionThe case of gauge fields was added. 16 pages
dc.identifierhttps://arxiv.org/abs/0710.3040
dc.identifierhttp://arxiv.org/abs/0710.3040
dc.identifierJ.Math.Phys.49:052303,2008
dc.identifierdoi:10.1063/1.2918137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204602
dc.subjectHigh Energy Physics - Theory
dc.titleRelating on-shell and off-shell formalism in perturbative quantum field theory
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