Complex Angular Momentum in General Quantum Field Theory

Simple item page
dc.creatorBros, J.
dc.creatorViano, G. A.
dc.date1998-12-17
dc.date.accessioned2026-07-07T06:33:39Z
dc.date.available2026-07-07T06:33:39Z
dc.descriptionIt is proven that for each given two-field channel - called the ``t-channel''- with (off-shell) ``scattering angle'' $Θ_t$, the four-point Green's function of any scalar Quantum Fields satisfying the basic principles of locality, spectral condition together with temperateness admits a Laplace-type transform in the corresponding complex angular momentum variable $λ_t$, dual to $Θ_t$. This transform enjoys the following properties: a) it is holomorphic in a half-plane of the form $Re λ_t > m$, where m is a certain ``degree of temperateness'' of the fields considered, b) it is in one-to-one (invertible) correspondence with the (off-shell) ``absorptive parts'' in the crossed two-field channels, c) it extrapolates in a canonical way to complex values of the angular momentum the coefficients of the (off-shell) t-channel partial-wave expansion of the Euclidean four-point function of the fields. These properties are established for all space-time dimensions d+1 with $d \ge 2$.
dc.description86 pages, 9 figures, tcilatex
dc.identifierhttps://arxiv.org/abs/hep-th/9812150
dc.identifierhttp://arxiv.org/abs/hep-th/9812150
dc.identifierAnnales Henri Poincare 1 (2006) 101-172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99266
dc.subjectHigh Energy Physics - Theory
dc.titleComplex Angular Momentum in General Quantum Field Theory
dc.typetext

Files

Collections

arXiv