Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-12
Physics
High Energy Physics
High Energy Physics - Theory
latex BSRegge.tex, 1 file, 42 pages [SPhT-T01/119], submitted to Ann. Henri Poincar\'e Title change. New presentation. See h
Scientific paper
The 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 $\lambda_{t},$ 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.
Bros Jacques
Viano Giovanni Alberto
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