865,253 research outputs found
An operator expansion for the elastic limit
A leading twist expansion in terms of bi-local operators is proposed for the
structure functions of deeply inelastic scattering near the elastic limit , which is also applicable to a range of other processes. Operators of
increasing dimensions contribute to logarithmically enhanced terms which are
supressed by corresponding powers of . For the longitudinal structure
function, in moment () space, all the logarithmic contributions of order
are shown to be resummable in terms of the anomalous dimension of
the leading operator in the expansion.Comment: 9 pages, 1 figure, uses REVTEX 3.1 and axodra
On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem
We address the question of a Berry Esseen type theorem for the speed of
convergence in a multivariate free central limit theorem. For this, we estimate
the difference between the operator-valued Cauchy transforms of the normalized
partial sums in an operator-valued free central limit theorem and the Cauchy
transform of the limiting operator-valued semicircular element.Comment: 14 page
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