Analytical Heavy Quark Expansion in the 't Hooft Model
Matthias Burkardt, Nikolai Uraltsev
Abstract
We present a number of exact relations for the heavy quark limit and develop an analytical 1/mQ expansion for heavy mesons in the 't Hooft model. Among the new results are relation 3μπ2=Λ2 - msp2+β2, 1/mQ corrections to the decay constants, to the kinetic expectation values and 1/mQ2 nonperturbative corrections to the B->D amplitude at zero recoil. The properties of the IW functions are addressed and the small velocity sum rules are verified.
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