Complex Angular Momentum Diagonalization of the Bethe-Salpeter Structure in General Quantum Field Theory

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dc.creatorBros, J.
dc.creatorViano, G. A.
dc.date2001-12-12
dc.date2002-10-10
dc.date.accessioned2026-07-07T04:12:50Z
dc.date.available2026-07-07T04:12:50Z
dc.descriptionThe Complex Angular Momentum (CAM) representation of (scalar) four-point functions has been previously established starting from the general principles of local relativistic Quantum Field Theory (QFT). Here, we carry out the diagonalization of the general $t$-channel Bethe--Salpeter (BS) structure of four point functions in the corresponding CAM variable $λ_{t},$ for all negative values of the squared-energy variable $t$. This diagonalization is closely related to the existence of BS-equations for the absorptive parts in the crossed channels, interpreted as convolution equations with spectral properties. The production of Regge poles equipped with factorized residues involving Euclidean three-point functions appears as conceptually built-in in the analytic axiomatic framework of QFT. The existence of leading Reggeon terms governing the asymptotic behaviour of the four-point function at fixed $t$ is strictly conditioned by the asymptotic behaviour of a global Bethe-Salpeter kernel of the theory.
dc.descriptionlatex BSRegge.tex, 1 file, 42 pages [SPhT-T01/119], submitted to Ann. Henri Poincaré Title change. New presentation. See http://www-spht.cea.fr/articles/T01/119
dc.identifierhttps://arxiv.org/abs/hep-th/0112108
dc.identifierhttp://arxiv.org/abs/hep-th/0112108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51043
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleComplex Angular Momentum Diagonalization of the Bethe-Salpeter Structure in General Quantum Field Theory
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