Bilocal Field Approach and Semileptonic Heavy Meson Decays

Details Bilocal Field Approach and Semileptonic Heavy Meson Decays Bilocal Field Approach and Semileptonic Heavy Meson Decays

1992-08-31

arxiv.org/abs/hep-ph/9208261v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages and 2 figures (available upon request), DESY 92-071

Scientific paper

In this paper we consider the bilocal field approach for $QCD$. We obtain a bilocal effective meson action with a potential kernel given in relativistic covariant form. The corresponding Schwinger--Dyson and Bethe--Salpeter equations are investigated in detail. By introducing weak interactions into the theory we study heavy meson properties as decay constants and semileptonic decay amplitudes. Thereby, the transition from the bilocal field description to the heavy quark effective theory is discussed. Considering as example the semileptonic decay of a pseudoscalar $B$--meson into a pseudoscalar $D$--meson we obtain an integral expression for the corresponding Isgur--Wise function in terms of meson wave functions.

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