Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isgur-Wise functions, Bjorken-Uraltsev Sum Rules and their Lorentz group
  interpretation, In Memoriam Nikolai Uraltsev   In the heavy quark limit of QCD, using the Operator Product Expansion and the
non-forward amplitude, as proposed by Nikolai Uraltsev, we formulate sum rules
that generalize Bjorken and Uraltsev sum rules. We recover the Uraltsev lower
bound for the slope of the Isgur-Wise (IW) function, that we generalize to
higher derivatives. We show that these results have a clear interpretation in
terms of the Lorentz group, since the IW function is given by an overlap
between the initial and final light clouds, related by Lorentz transformations.
Both the Lorentz group and the Sum Rules approach are equivalent. Moreover, we
formulate an integral representation of the IW function with a positive
measure. Inverting this integral formula, we obtain the measure in terms of the
IW function, allowing to formulate criteria to decide if a given ansatz for the
IW function is compatible or not with the sum rule constraints. We compare
these theoretical constraints to some forms proposed in the literature.

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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess