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Covariant solutions of the Bethe-Salpeter equation and an application to the nucleon stucture function

✍ Scribed by A.G. Williams

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 281 KB
Volume: 631
Category: Article
ISSN: 0375-9474
DOI: 10.1016/s0375-9474(98)00066-9

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✦ Synopsis

There is a need for covariant solutions of bound state equations in order to construct realistic QCD based models of mesons and baryons. Furthermore, we ideally need to know the structure of these bound states in all kinematical regimes, which makes a direct solution in Minkowski space (without any 3-dimensional reductions) desirable. The Bethe-Salpeter equation (BSE) for bound states in scalar theories is reformulated and solved for arbitrary scattering kernels in terms of a generalized spectral representation directly in Minkowski space This differs from the conventional Euclidean approach, where the BSE can only be solved in ladder approximation after a Wick rotation. An application of covariant Bethe-Salpeter solutions to a quark-diquark model of the nucleon is also briefly discussed.

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